메뉴 건너뛰기




Volumn , Issue , 2009, Pages 1-595

Introduction to the theory of functional equations and inequalities: Cauchy's equation and Jensen's inequality

(1)  Kuczma, Marek a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84892215097     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-7643-8749-5     Document Type: Book
Times cited : (392)

References (331)
  • 1
    • 84892288651 scopus 로고
    • An example of a nonmeasurable set
    • A. Abian, An example of a nonmeasurable set, Boll. Un. Mat. Ital. (4) 1(1968), 366-368.
    • (1968) Boll. Un. Mat. Ital. , vol.1 , Issue.4 , pp. 366-368
    • Abian, A.1
  • 2
    • 51249195157 scopus 로고
    • Uber eine Klasse von Funktionalgleichungen
    • J. Aczél, Uber eine Klasse von Funktionalgleichungen, Comment. Math. Helv. 21(1948), 247-252.
    • (1948) Comment. Math. Helv. , vol.21 , pp. 247-252
    • Aczél, J.1
  • 3
    • 84892349465 scopus 로고
    • Miszellen über Funktionalgleichungen. I
    • J. Aczél, Miszellen über Funktionalgleichungen. I, Math. Nachr. 19(1958), 87-99.
    • (1958) Math. Nachr. , vol.19 , pp. 87-99
    • Aczél, J.1
  • 4
    • 0011340280 scopus 로고
    • The general solution of two functional equations by reduction to functions additive in two variables and, with the aid of Hamel bases
    • J. Aczél, The general solution of two functional equations by reduction to functions additive in two variables and, with the aid of Hamel bases, Glasnik Mat.-Fiz. Astronom. Ser. II Društvo Mat. Fiz. Hrvatske 20(1965), 65-73.
    • (1965) Glasnik Mat.-Fiz. Astronom. Ser. II Društvo Mat. Fiz. Hrvatske , vol.20 , pp. 65-73
    • Aczél, J.1
  • 5
    • 0010342989 scopus 로고
    • Lectures on functional equations and, their applications
    • Academic Press, New York-London
    • J. Aczél, Lectures on Functional Equations and, Their Applications, Mathematics in Science and Engineering, vol. 19, Academic Press, New York-London, 1966.
    • (1966) Mathematics in Science and Engineering , vol.19
    • Aczél, J.1
  • 6
  • 7
    • 84892287594 scopus 로고
    • Remark (P178R3)
    • J. Aczél, Remark (P178R3), Aequationes Math. 19(1979), 286.
    • (1979) Aequationes Math. , vol.19 , pp. 286
    • Aczél, J.1
  • 8
    • 0011357589 scopus 로고
    • Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups
    • J. Aczél, J. A. Baker, D. Ž. Djokovic, PI. Kannappan, and F. Radó, Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups, Aequationes Math. 6(1971), 263-271.
    • (1971) Aequationes Math. , vol.6 , pp. 263-271
    • Aczél, J.1    Baker, J.A.2    Djokovic, D.Ž.3    Kannappan, P.I.4    Radó, F.5
  • 9
    • 42349092694 scopus 로고
    • The non-existence of a Hamel-basis and, the general solution of Cauchy's functional equation for non-negative numbers
    • J. Aczél and P. Erdos, The non-existence of a Hamel-basis and, the general solution of Cauchy's functional equation for non-negative numbers, Publ. Math. Debrecen 12(1965), 253-263.
    • (1965) Publ. Math. Debrecen , vol.12 , pp. 253-263
    • Aczél, J.1    Erdos, P.2
  • 11
    • 0008962902 scopus 로고
    • Functions with bounded nth differences
    • M. Albert and J. A. Baker, Functions with bounded nth differences, Ann. Polon. Math. 43(1983), no. 1, 93-103.
    • (1983) Ann. Polon. Math. , vol.43 , Issue.1 , pp. 93-103
    • Albert, M.1    Baker, J.A.2
  • 12
    • 84892341548 scopus 로고
    • A certain generalization of the functional equation f (x + y) = f (x) + f (y)
    • A. D. Aleksandrov, A certain generalization of the functional equation f (x + y) = f (x) + f (y)., Sibirsk. Mat. Z. 11(1970), 264-278.
    • (1970) Sibirsk. Mat. Z. , vol.11 , pp. 264-278
    • Aleksandrov, A.D.1
  • 13
    • 34047246046 scopus 로고
    • Rem, arque sur l'équation fonctionelle f (x + y) = f (x) + f (y)
    • A. Alexiewicz and W. Orlicz, Rem, arque sur l'équation fonctionelle f (x + y) = f (x) + f (y), Fund. Math. 33(1945), 314-315.
    • (1945) Fund. Math. , vol.33 , pp. 314-315
    • Alexiewicz, A.1    Orlicz, W.2
  • 14
    • 84882898177 scopus 로고
    • Fonctions semi-monotones et semi-convexes et solutions d'une équation fonctionnelle
    • J. Anastassiadis, Fonctions semi-monotones et semi-convexes et solutions d'une équation fonctionnelle, Bull. Sci. Math. (2) 76(1952), 148-160.
    • (1952) Bull. Sci. Math. , vol.76 , Issue.2 , pp. 148-160
    • Anastassiadis, J.1
  • 15
    • 84966225546 scopus 로고
    • The stability of the cosine equation
    • J. A. Baker, The stability of the cosine equation, Proc. Amer. Math. Soc. 80(1980), no. 3, 411-416.
    • (1980) Proc. Amer. Math. Soc. , vol.80 , Issue.3 , pp. 411-416
    • Baker, J.A.1
  • 16
    • 84966248021 scopus 로고
    • The stability of the equation f (x + y) = f (x) f (y)
    • J. A. Baker, J. Lawrence, and F. Zorzitto, The stability of the equation f (x + y) = f (x) f (y), Proc. Amer. Math. Soc. 74(1979), no. 2, 242-246.
    • (1979) Proc. Amer. Math. Soc. , vol.74 , Issue.2 , pp. 242-246
    • Baker, J.A.1    Lawrence, J.2    Zorzitto, F.3
  • 17
    • 34250530723 scopus 로고
    • On a problem of Kemperman concerning Hamel functions
    • J. A. Baker and S. L. Segal, On a problem of Kemperman concerning Hamel functions, Aequationes Math. 2(1968), 114-115.
    • (1968) Aequationes Math. , vol.2 , pp. 114-115
    • Baker, J.A.1    Segal, S.L.2
  • 19
    • 34047251206 scopus 로고
    • Sur l'équation fonctionnelle f (x+y) = f (x) + f (y)
    • S. Banach, Sur l'équation fonctionnelle f (x+y) = f (x) + f (y), Fund. Math. 1(1920), 123-124.
    • (1920) Fund. Math. , vol.1 , pp. 123-124
    • Banach, S.1
  • 20
    • 84892351370 scopus 로고
    • On Mikusinski-P exider functional equation
    • K. Baron and R. Ger, On Mikusinski-P exider functional equation, Colloq. Math. 28(1973), 307-312.
    • (1973) Colloq. Math. , vol.28 , pp. 307-312
    • Baron, K.1    Ger, R.2
  • 21
    • 84947681596 scopus 로고
    • Generalized convex functions
    • E. F. Beckenbach, Generalized convex functions, Bull. Amer. Math. Soc. 43(1937), no. 6, 363-371.
    • (1937) Bull. Amer. Math. Soc. , vol.43 , Issue.6 , pp. 363-371
    • Beckenbach, E.F.1
  • 24
    • 0004168362 scopus 로고
    • 2nd rev. ed., Springer Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, New York
    • E. F. Beckenbach and R. Bellman, Inequalities, 2nd rev. ed., Springer Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Band 30, New York, 1965.
    • (1965) Inequalities , vol.30
    • Beckenbach, E.F.1    Bellman, R.2
  • 26
    • 84892300325 scopus 로고
    • Remark (P178R1)
    • W. Benz, Remark (P178R1), Aequationes Math. 20(1980), 304.
    • (1980) Aequationes Math. , vol.20 , pp. 304
    • Benz, W.1
  • 27
    • 84892336018 scopus 로고
    • Remark (P190S1)
    • W. Benz, Remark (P190S1), Aequationes Math. 20(1980), 305.
    • (1980) Aequationes Math. , vol.20 , pp. 305
    • Benz, W.1
  • 28
    • 84892257247 scopus 로고
    • Partial monotonicity and, (J)-convexity
    • B. Bereanu, Partial monotonicity and, (J)-convexity, Rev. Roumaine Math. Pures Appl. 14(1969), 1085-1087.
    • (1969) Rev. Roumaine Math. Pures Appl. , vol.14 , pp. 1085-1087
    • Bereanu, B.1
  • 30
    • 0012738627 scopus 로고
    • Zur Theorie der konvexen Funktionen
    • F. Bernstein and G. Doetsch, Zur Theorie der konvexen Funktionen, Math. Ann. 76(1915), no. 4, 514-526.
    • (1915) Math. Ann. , vol.76 , Issue.4 , pp. 514-526
    • Bernstein, F.1    Doetsch, G.2
  • 31
    • 34250397285 scopus 로고
    • Sublinear functions on R
    • E. Berz, Sublinear functions on R, Aequationes Math. 12(1975), no. 2/3, 200-206.
    • (1975) Aequationes Math. , vol.12 , Issue.2-3 , pp. 200-206
    • Berz, E.1
  • 32
    • 24544457134 scopus 로고
    • The functional equation f (x+y -xy) + f (xy) = f (x) + f (y)
    • D. Blanusa, The functional equation f (x+y -xy) + f (xy) = f (x) + f (y), Aequationes Math. 5(1970), 63-67.
    • (1970) Aequationes Math. , vol.5 , pp. 63-67
    • Blanusa, D.1
  • 33
    • 0005290549 scopus 로고
    • On convex functions
    • H. Blumberg, On convex functions, Trans. Amer. Math. Soc. 20(1919), no. 1, 40-44.
    • (1919) Trans. Amer. Math. Soc. , vol.20 , Issue.1 , pp. 40-44
    • Blumberg, H.1
  • 37
    • 30344460268 scopus 로고
    • Elements de mathematique. XII. Premierère partie: Les structures fondamentales de l'analyse. Livre IV: Fonctions d'une variable reelle. (Theorie elementaire). Chapitre IV: Equations differentielles. Chapitre V: Etude locale des fonctions. Chapitre VI: Developpements tayloriens generalises; formule sommatoire d'Euler-Maclaurin. Chapitre VII: La fonction gamma
    • Hermann et Cie., Paris
    • N. Bourbaki, Élements de mathématique. XII. Premierère partie: Les structures fondamentales de l'analyse. Livre IV: Fonctions d'une variable réelle. (Théorie élé mentaire). Chapitre IV: Équations différentielles. Chapitre V: Étude locale des fonctions. Chapitre VI: Développements tayloriens généralisés; formule sommatoire d'Euler-Maclaurin. Chapitre VII: La fonction gamma, Actualités Sci. Ind., no. 1132, Hermann et Cie., Paris, 1951.
    • (1951) Actualités Sci. Ind. , Issue.1132
    • Bourbaki, N.1
  • 41
    • 84892354509 scopus 로고
    • Cours d'analyse de l'École Royale Polytechnique.
    • Paris, Oeuvres 2 3, Paris, 1897
    • A.-L. Cauchy, Cours d'analyse de l'École Royale Polytechnique., Première Partie, Analyse algébrique, Paris, 1821 [Oeuvres (2) 3, Paris, 1897].
    • (1821) Première Partie, Analyse Algébrique
    • Cauchy, A.-L.1
  • 42
    • 84966255378 scopus 로고
    • The stability of the sine equation
    • P. W. Cholewa, The stability of the sine equation, Proc. Amer. Math. Soc. 88(1983), no. 4, 631-634.
    • (1983) Proc. Amer. Math. Soc. , vol.88 , Issue.4 , pp. 631-634
    • Cholewa, P.W.1
  • 43
    • 0002518210 scopus 로고
    • Remarks on the stability of functional equations
    • P. W. Cholewa, Remarks on the stability of functional equations, Aequationes Math. 27(1984), no. 1-2, 76-86.
    • (1984) Aequationes Math. , vol.27 , Issue.1-2 , pp. 76-86
    • Cholewa, P.W.1
  • 44
    • 0009052759 scopus 로고
    • The stability problem for a generalized Cauchy type functional equation
    • P. W. Cholewa, The stability problem for a generalized Cauchy type functional equation, Rev. Roumaine Math. Pures Appl. 29(1984), no. 6, 457-460.
    • (1984) Rev. Roumaine Math. Pures Appl. , vol.29 , Issue.6 , pp. 457-460
    • Cholewa, P.W.1
  • 45
    • 77956784315 scopus 로고
    • A note on some inequalities of Jensen's type
    • Z. Ciesielski, A note on some inequalities of Jensen's type, Ann. Polon. Math. 4(1958), 269-274.
    • (1958) Ann. Polon. Math. , vol.4 , pp. 269-274
    • Ciesielski, Z.1
  • 46
    • 0038960020 scopus 로고
    • Some properties of convex functions of higher orders
    • Z. Ciesielski, Some properties of convex functions of higher orders, Ann. Polon. Math. 7(1959), 1-7.
    • (1959) Ann. Polon. Math. , vol.7 , pp. 1-7
    • Ciesielski, Z.1
  • 48
    • 0000762939 scopus 로고
    • The independence of the continuum hypothesis. II
    • P. J. Cohen, The independence of the continuum hypothesis. II, Proc. Nat. Acad. Sci. U. S. A. 51(1964), 105-110.
    • (1964) Proc. Nat. Acad. Sci. U. S. A. , vol.51 , pp. 105-110
    • Cohen, P.J.1
  • 49
    • 64549140866 scopus 로고
    • The converse of the Cauchy-Hölder inequality and the solutions of the inequality g (x + y) ≤ g (x) + g (y)
    • R. Cooper, The converse of the Cauchy-Hölder inequality and the solutions of the inequality g (x + y) ≤ g (x) + g (y), Proc. London Math. Soc. (2) 26(1927), 415-432.
    • (1927) Proc. London Math. Soc. , vol.26 , Issue.2 , pp. 415-432
    • Cooper, R.1
  • 50
    • 84892302547 scopus 로고
    • Sur les ensembles et les fonctions convexes (in Hungarian)
    • Á. Császár, Sur les ensembles et les fonctions convexes (in Hungarian), Mat. Lapok 9(1958), 273-282.
    • (1958) Mat. Lapok , vol.9 , pp. 273-282
    • Császár, Á.1
  • 53
    • 72549104390 scopus 로고
    • Sur la composition des forces en statique
    • G. Darboux, Sur la composition des forces en statique, Bull. Sci. Math. (1) 9(1875), 281-288.
    • (1875) Bull. Sci. Math. , vol.9 , Issue.1 , pp. 281-288
    • Darboux, G.1
  • 54
    • 24844438303 scopus 로고
    • Notwendige und hinreichende Bedingungen für die Existenz von nichtkonstanten Lösungen linearer Funktionalgleichungen
    • Z. Daróczy, Notwendige und hinreichende Bedingungen für die Existenz von nichtkonstanten Lösungen linearer Funktionalgleichungen, Acta Sci. Math. Szeged 22(1961), 31-41.
    • (1961) Acta Sci. Math. Szeged , vol.22 , pp. 31-41
    • Daróczy, Z.1
  • 55
    • 84883756689 scopus 로고
    • On a class of bilinear functional equations (in Hungarian)
    • Z. Daróczy, On a class of bilinear functional equations (in Hungarian), Mat. Lapok 15(1964), 52-86.
    • (1964) Mat. Lapok , vol.15 , pp. 52-86
    • Daróczy, Z.1
  • 56
    • 84892259290 scopus 로고
    • Über die Funktionalgleichung f (xy) + f (x + y - xy) = f (x) + f (y)
    • Z. Daróczy, Über die Funktionalgleichung f (xy) + f (x + y - xy) = f (x) + f (y), Publ. Math. Debrecen 16(1969), 129-132.
    • (1969) Publ. Math. Debrecen , vol.16 , pp. 129-132
    • Daróczy, Z.1
  • 57
    • 34250451730 scopus 로고
    • On the general solution of the functional equation f (x+y - Xy) + f (xy) = f (x) + f (y)
    • Z. Daróczy, On the general solution of the functional equation f (x+y - xy) + f (xy) = f (x) + f (y), Aequationes Math. 6(1971), 130-132.
    • (1971) Aequationes Math. , vol.6 , pp. 130-132
    • Daróczy, Z.1
  • 58
    • 84892290748 scopus 로고
    • Die Cauchysche Funktionalgleichung über diskrete Mengen
    • Z. Daróczy and K. Györy, Die Cauchysche Funktionalgleichung über diskrete Mengen, Publ. Math. Debrecen 13(1966), 249-255.
    • (1966) Publ. Math. Debrecen , vol.13 , pp. 249-255
    • Daróczy, Z.1    Györy, K.2
  • 59
    • 0011525983 scopus 로고
    • Über die Erweiterung der auf einer Punktmenge additiven Funktionen
    • Z. Daróczy and L. Losonczi, Über die Erweiterung der auf einer Punktmenge additiven Funktionen, Publ. Math. Debrecen 14(1967), 239-245.
    • (1967) Publ. Math. Debrecen , vol.14 , pp. 239-245
    • Daróczy, Z.1    Losonczi, L.2
  • 60
    • 0007467031 scopus 로고
    • The complete solution of Hosszü's functional equation over a field
    • T. M. K. Davison, The complete solution of Hosszü's functional equation over a field, Aequationes Math. 11(1974), 273-276.
    • (1974) Aequationes Math. , vol.11 , pp. 273-276
    • Davison, T.M.K.1
  • 61
    • 0007505625 scopus 로고
    • On the functional equation f (m + n - Mn) + f (mn) = f (m) + f (n)
    • T. M. K. Davison, On the functional equation f (m + n - mn) + f (mn) = f (m) + f (n), Aequationes Math. 11(1974), 206-211.
    • (1974) Aequationes Math. , vol.11 , pp. 206-211
    • Davison, T.M.K.1
  • 62
    • 84892199960 scopus 로고
    • Mathematics Institute, University of Warwick, Coventry, England, April
    • T. M. K. Davison, On Hosszu's functional equation, Mathematics Institute, University of Warwick, Coventry, England, April 1976.
    • (1976) On Hosszu's Functional Equation
    • Davison, T.M.K.1
  • 63
    • 33746202724 scopus 로고
    • Hosszu's functional equation over rings generated by their units
    • T. M. K. Davison and L. Redlin, Hosszu's functional equation over rings generated by their units, Aequationes Math. 21(1980), no. 2-3, 121-128.
    • (1980) Aequationes Math. , vol.21 , Issue.2-3 , pp. 121-128
    • Davison, T.M.K.1    Redlin, L.2
  • 64
    • 0001773829 scopus 로고
    • On almost additive functions
    • N. G. de Bruijn, On almost additive functions, Colloq. Math. 15(1966), 59-63.
    • (1966) Colloq. Math. , vol.15 , pp. 59-63
    • De Bruijn, N.G.1
  • 65
    • 67649696839 scopus 로고
    • Über konvexe und interne Funktionen, sowie eine gemeinsame Verallgemeinerung von beiden
    • E. Deak, Über konvexe und interne Funktionen, sowie eine gemeinsame Verallgemeinerung von beiden, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 5(1962), 109-154.
    • (1962) Ann. Univ. Sci. Budapest. Eötvös Sect. Math. , vol.5 , pp. 109-154
    • Deak, E.1
  • 66
    • 84892320506 scopus 로고
    • Sufficient conditions for a family of probabilities to be exponential
    • J. L. Denny, Sufficient conditions for a family of probabilities to be exponential, Proc. Nat. Acad. Sci. U. S. A. 57(1967), 1184-1187.
    • (1967) Proc. Nat. Acad. Sci. U. S. A. , vol.57 , pp. 1184-1187
    • Denny, J.L.1
  • 67
    • 84892196077 scopus 로고
    • Cauchy's equation and, sufficient statistics on arcwise connected, spaces
    • J. L. Denny, Cauchy's equation and, sufficient statistics on arcwise connected, spaces, Ann. Math. Statist. 41(1970), 401-411.
    • (1970) Ann. Math. Statist. , vol.41 , pp. 401-411
    • Denny, J.L.1
  • 68
    • 0010674046 scopus 로고
    • With a Thai preface by Wirun Bu nsambati, Chulalongkorn University, Department of Mathematics, Bangkok, Lecture Notes
    • J. Dhombres, Some aspects of functional equations, With a Thai preface by Wirun Bu nsambati, Chulalongkorn University, Department of Mathematics, Bangkok, 1979, Lecture Notes.
    • (1979) Some Aspects of Functional Equations
    • Dhombres, J.1
  • 70
    • 11144285103 scopus 로고
    • Conditional Cauchy equations
    • J. G. Dhombres and R. Ger, Conditional Cauchy equations, Glas. Mat. Ser. Ill 13(33) (1978), no. 1, 39-62.
    • (1978) Glas. Mat. Ser. Ill , vol.13 , Issue.1-33 , pp. 39-62
    • Dhombres, J.G.1    Ger, R.2
  • 71
    • 0009002389 scopus 로고
    • n-1) and, its applications
    • n-1) and, its applications, Ann. Polon. Math. 22(1969/1970), 189-198.
    • (1969) Ann. Polon. Math. , vol.22 , pp. 189-198
    • Djokovic, D.Z.1
  • 73
    • 21244486193 scopus 로고
    • Sur les problèmes d'immersion et la théorie des modules
    • P. Dubreil, Sur les problèmes d'immersion et la théorie des modules, C. R. Acad. Sci. Paris 216(1943), 625-627.
    • (1943) C. R. Acad. Sci. Paris , vol.216 , pp. 625-627
    • Dubreil, P.1
  • 74
    • 0003667237 scopus 로고
    • Cambridge Tracts in Mathematics and Mathematical Physics 47, Cambridge University Press, New York
    • H. G. Eggleston, Convexity, Cambridge Tracts in Mathematics and Mathematical Physics 47, Cambridge University Press, New York, 1958.
    • (1958) Convexity
    • Eggleston, H.G.1
  • 76
    • 0039056759 scopus 로고
    • On some properties of Hamel bases
    • P. Erdos, On some properties of Hamel bases, Colloq. Math. 10(1963), 267-269.
    • (1963) Colloq. Math. , vol.10 , pp. 267-269
    • Erdos, P.1
  • 77
    • 33747176452 scopus 로고
    • Sur la décomposition de l'espace euclidien en ensembles homogènes
    • P. Erdos and S. Marcus, Sur la décomposition de l'espace euclidien en ensembles homogènes, Acta Math. Acad. Sci. Hungar 8(1957), 443-452.
    • (1957) Acta Math. Acad. Sci. Hungar , vol.8 , pp. 443-452
    • Erdos, P.1    Marcus, S.2
  • 78
    • 34250491319 scopus 로고
    • On the general solution of a functional equation in the domain of distributions
    • I. Fenyo, On the general solution of a functional equation in the domain of distributions, Aequationes Math. 3(1969), 236-246.
    • (1969) Aequationes Math. , vol.3 , pp. 236-246
    • Fenyo, I.1
  • 79
    • 21244497936 scopus 로고
    • Set-valued Jensen functional equation
    • Z. Fifer, Set-valued Jensen functional equation, Rev. Roumaine Math. Pures Appl. 31(1986), no. 4, 297-302.
    • (1986) Rev. Roumaine Math. Pures Appl. , vol.31 , Issue.4 , pp. 297-302
    • Fifer, Z.1
  • 80
    • 84892220512 scopus 로고
    • The functional equation f (x + y) = f (x) + f (y) (in Polish)
    • 1969
    • T. Figiel, The functional equation f (x + y) = f (x) + f (y) (in Polish), Wiadom. Mat. (2) 11(1969), 15-18 (1969).
    • (1969) Wiadom. Mat. , vol.11 , Issue.2 , pp. 15-18
    • Figiel, T.1
  • 83
    • 81855205257 scopus 로고
    • Generalizations of a certain kind for Cauchy's functional equation (in Hungarian)
    • P. Fischer and Gy. Muszély, Generalizations of a certain kind for Cauchy's functional equation (in Hungarian), Mat. Lapok 16(1965), 67-75.
    • (1965) Mat. Lapok , vol.16 , pp. 67-75
    • Fischer, P.1    Muszély, Gy.2
  • 84
    • 0141750889 scopus 로고
    • On some new generalizations of the functional equation of Cauchy
    • P. Fischer and Gy. Muszély, On some new generalizations of the functional equation of Cauchy, Canad. Math. Bull. 10(1967), 197-205.
    • (1967) Canad. Math. Bull. , vol.10 , pp. 197-205
    • Fischer, P.1    Muszély, Gy.2
  • 85
    • 84966239542 scopus 로고
    • Christensen zero sets and measurable convex functions
    • P. Fischer and Z. Slodkowski, Christensen zero sets and measurable convex functions, Proc. Amer. Math. Soc. 79(1980), no. 3, 449-453.
    • (1980) Proc. Amer. Math. Soc. , vol.79 , Issue.3 , pp. 449-453
    • Fischer, P.1    Slodkowski, Z.2
  • 86
    • 84892333767 scopus 로고
    • On the functional equation f (L+x) =/(L) + f (X)
    • G. L. Forti, On the functional equation f (L+x) =/(L) + f (X), Istit. Lombardo Accad. Sci. Lett. Rend. A 111(1977), no. 2, 296-302 (1978).
    • (1977) Istit. Lombardo Accad. Sci. Lett. Rend. A , vol.111 , Issue.2 , pp. 296-302
    • Forti, G.L.1
  • 87
    • 84892256424 scopus 로고
    • Bounded solutions with zeros of the functional equation f (L+x) = f (L) + f (x)
    • G. L. Forti, Bounded solutions with zeros of the functional equation f (L+x) = f (L) + f (x), Boll. Un. Mat. Ital. A (5) 15(1978), no. 1, 248-256.
    • (1978) Boll. Un. Mat. Ital. A , vol.15 , Issue.1-5 , pp. 248-256
    • Forti, G.L.1
  • 88
    • 0009007076 scopus 로고
    • An existence and, stability theorem for a class of functional equations
    • G. L. Forti, An existence and, stability theorem for a class of functional equations, Stochastica 4(1980), no. 1, 23-30.
    • (1980) Stochastica , vol.4 , Issue.1 , pp. 23-30
    • Forti, G.L.1
  • 89
    • 34250235407 scopus 로고
    • On an alternative functional equation related to the Cauchy equation
    • G. L. Forti, On an alternative functional equation related to the Cauchy equation, Aequationes Math. 24(1982), no. 2-3, 195-206.
    • (1982) Aequationes Math. , vol.24 , Issue.2-3 , pp. 195-206
    • Forti, G.L.1
  • 90
    • 20344389137 scopus 로고
    • Pri la fukncia equacio f (x + y) = f (x) + f (y)
    • M. Fréchet, Pri la fukncia equacio f (x + y) = f (x) + f (y), Enseignement Math. 15(1913), 390-393.
    • (1913) Enseignement Math. , vol.15 , pp. 390-393
    • Fréchet, M.1
  • 91
    • 72649107291 scopus 로고
    • A propos d'un article sur l'équation fonctionnelle f (x + y) = f (x) + f (y)
    • M. Fréchet, A propos d'un article sur l'équation fonctionnelle f (x + y) = f (x) + f (y), Enseignement Math. 16(1914), 136.
    • (1914) Enseignement Math. , vol.16 , pp. 136
    • Fréchet, M.1
  • 92
    • 34247400583 scopus 로고
    • Les polynômes abstraits
    • M. Fréchet, Les polynômes abstraits, J. Math. Pures Appl. (9) 8(1929), 71-92.
    • (1929) J. Math. Pures Appl. , vol.8 , Issue.9 , pp. 71-92
    • Fréchet, M.1
  • 93
    • 0010164736 scopus 로고
    • A new proof of an inequality of Hardy-Littlewood-Pólya
    • L. Fuchs, A new proof of an inequality of Hardy-Littlewood-Pólya, Mat. Tidsskr. B. 1947(1947), 53-54.
    • (1947) Mat. Tidsskr. B , vol.1947 , pp. 53-54
    • Fuchs, L.1
  • 94
    • 34250139074 scopus 로고
    • On some properties of Hamel bases connected, with the continuity of polynomial functions
    • Z. Gajda, On some properties of Hamel bases connected, with the continuity of polynomial functions, Aequationes Math. 27(1984), no. 1-2, 57-75.
    • (1984) Aequationes Math. , vol.27 , Issue.1-2 , pp. 57-75
    • Gajda, Z.1
  • 95
    • 0040738823 scopus 로고
    • Christensen measurability of polynomial functions and, convex functions of higher orders
    • Z. Gajda, Christensen measurability of polynomial functions and, convex functions of higher orders, Ann. Polon. Math. 47(1986), no. 1, 25-40.
    • (1986) Ann. Polon. Math. , vol.47 , Issue.1 , pp. 25-40
    • Gajda, Z.1
  • 97
    • 0347483035 scopus 로고
    • Some remarks on convex functions
    • R. Ger, Some remarks on convex functions, Fund. Math. 66(1969/1970), 255-262.
    • (1969) Fund. Math. , vol.66 , pp. 255-262
    • Ger, R.1
  • 98
    • 84892210785 scopus 로고
    • Some new conditions of continuity of convex functions
    • R. Ger, Some new conditions of continuity of convex functions, Mathematica (Cluj) 12(35) (1970), 271-277.
    • (1970) Mathematica (Cluj) , vol.12 , Issue.35 , pp. 271-277
    • Ger, R.1
  • 99
    • 2142778478 scopus 로고
    • On almost polynomial functions
    • R. Ger, On almost polynomial functions, Colloq. Math. 24(1971/72), 95-101.
    • (1971) Colloq. Math. , vol.24 , pp. 95-101
    • Ger, R.1
  • 100
    • 34247371740 scopus 로고
    • On some properties of polynomial functions
    • R. Ger, On some properties of polynomial functions, Ann. Polon. Math. 25(1971/72), 195-203.
    • (1971) Ann. Polon. Math. , vol.25 , pp. 195-203
    • Ger, R.1
  • 101
    • 33947257676 scopus 로고
    • Convex functions of higher orders in Euclidean spaces
    • R. Ger, Convex functions of higher orders in Euclidean spaces, Ann. Polon. Math. 25(1971/72), 293-302.
    • (1971) Ann. Polon. Math. , vol.25 , pp. 293-302
    • Ger, R.1
  • 102
    • 0010677461 scopus 로고
    • Note on convex functions bounded on regular hypersurfaces
    • Collection of articles dedicated to Stanislaw Goła̧b on his 70th birthday, I
    • R. Ger, Note on convex functions bounded on regular hypersurfaces, Demonstratio Math. 6(1973), 97-103, Collection of articles dedicated to Stanislaw Goła̧b on his 70th birthday, I.
    • (1973) Demonstratio Math. , vol.6 , pp. 97-103
    • Ger, R.1
  • 104
    • 4644241810 scopus 로고
    • N-convex functions in linear spaces
    • R. Ger, n-convex functions in linear spaces, Aequationes Math. 10(1974), 172-176.
    • (1974) Aequationes Math. , vol.10 , pp. 172-176
    • Ger, R.1
  • 105
    • 0009311436 scopus 로고
    • On some functional equations with a restricted domain, I.; II
    • 98, 1978, no. 3, 250-272
    • R. Ger, On some functional equations with a restricted domain, I.; II., Fund. Math. 89, (1975), 131-149.; 98, (1978), no. 3, 250-272.
    • (1975) Fund. Math. , vol.89 , pp. 131-149
    • Ger, R.1
  • 106
    • 84892213132 scopus 로고
    • Certain functional equations with a restricted domain (in Polish)
    • R. Ger, Certain functional equations with a restricted domain (in Polish), Uniw. Ślaski w Katowicach Prace Naukowe, no. 132, (1976), 36.
    • (1976) Uniw. Ślaski w Katowicach Prace Naukowe , Issue.132 , pp. 36
    • Ger, R.1
  • 107
    • 84874681147 scopus 로고
    • On a method of solving of conditional Cauchy equations
    • R. Ger, On a method of solving of conditional Cauchy equations, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz., no. 544-576, (1976), 159-165.
    • (1976) Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. , Issue.544-576 , pp. 159-165
    • Ger, R.1
  • 108
    • 14944384573 scopus 로고
    • Functional equations with a restricted domain
    • R. Ger, Functional equations with a restricted domain, Rend. Sem. Mat. Fis. Milano 47(1977), 175-184.
    • (1977) Rend. Sem. Mat. Fis. Milano , vol.47 , pp. 175-184
    • Ger, R.1
  • 109
    • 34250302256 scopus 로고
    • On an alternative functional equation
    • R. Ger, On an alternative functional equation, Aequationes Math. 15(1977), no. 2-3, 145-162.
    • (1977) Aequationes Math. , vol.15 , Issue.2-3 , pp. 145-162
    • Ger, R.1
  • 110
    • 84892284465 scopus 로고
    • Almost subadditive functions, General inequalities, 1 (Oberwolfach, 1976)
    • E. F. Beckenbach, ed., Birkhäuser, Basel
    • R. Ger, Almost subadditive functions, General Inequalities, 1 (Oberwolfach, 1976) (E. F. Beckenbach, ed.), International Series of Numerical Mathematics, vol. 41, Birkhäuser, Basel, 1978, pp. 159-167.
    • (1978) International Series of Numerical Mathematics , vol.41 , pp. 159-167
    • Ger, R.1
  • 111
    • 0003067717 scopus 로고
    • Note on almost additive functions
    • R. Ger, Note on almost additive functions, Aequationes Math. 17(1978), no. 1, 73-76.
    • (1978) Aequationes Math. , vol.17 , Issue.1 , pp. 73-76
    • Ger, R.1
  • 112
    • 0011279670 scopus 로고
    • Almost additive functions on semigroups and a functional equation
    • R. Ger, Almost additive functions on semigroups and a functional equation, Publ. Math. Debrecen 26(1979), no. 3-4, 219-228.
    • (1979) Publ. Math. Debrecen , vol.26 , Issue.3-4 , pp. 219-228
    • Ger, R.1
  • 113
    • 84983622136 scopus 로고
    • Homogeneity sets for Jensen-convex functions, General Inequalities, 2 (Oberwolfach, 1978)
    • E. F. Beckenbach, ed., Birkhäuser, Basel
    • R. Ger, Homogeneity sets for Jensen-convex functions, General Inequalities, 2 (Oberwolfach, 1978) (E. F. Beckenbach, ed.), International Series of Numerical Mathematics, vol. 47, Birkhäuser, Basel, 1980, pp. 193-201.
    • (1980) International Series of Numerical Mathematics , vol.47 , pp. 193-201
    • Ger, R.1
  • 114
    • 84892229776 scopus 로고
    • Almost approximately additive mappings, general inequalities, 3 (Oberwolfach, 1981)
    • E. F. Beckenbach and W. Walter, eds., Birkhäuser, Basel
    • R. Ger, Almost approximately additive mappings, General Inequalities, 3 (Oberwolfach, 1981) (E. F. Beckenbach and W. Walter, eds.), International Series of Numerical Mathematics, vol. 64, Birkhäuser, Basel, 1983, pp. 263-276.
    • (1983) International Series of Numerical Mathematics , vol.64 , pp. 263-276
    • Ger, R.1
  • 115
    • 0009146260 scopus 로고
    • On the boundedness and, continuity of convex functions and, additive functions
    • R. Ger and M. Kuczma, On the boundedness and, continuity of convex functions and, additive functions, Aequationes Math. 4(1970), 157-162.
    • (1970) Aequationes Math. , vol.4 , pp. 157-162
    • Ger, R.1    Kuczma, M.2
  • 116
    • 84892312697 scopus 로고
    • On inverse additive functions
    • R. Ger and M. Kuczma, On inverse additive functions, Boll. Un. Mat. Ital. (4) 11(1975), no. 3, 490-495.
    • (1975) Boll. Un. Mat. Ital. , vol.11 , Issue.3-4 , pp. 490-495
    • Ger, R.1    Kuczma, M.2
  • 118
    • 33644538940 scopus 로고
    • Set-valued Cauchy functional equation
    • G. Godini, Set-valued Cauchy functional equation, Rev. Roumaine Math. Pures Appl. 20(1975), no. 10, 1113-1121.
    • (1975) Rev. Roumaine Math. Pures Appl. , vol.20 , Issue.10 , pp. 1113-1121
    • Godini, G.1
  • 119
    • 84892210873 scopus 로고
    • Über die Funktionalgleichung der Funktion Arccosinus. I. Die lokalen Lösungen
    • S. Goiab and L. Losonczi, Über die Funktionalgleichung der Funktion Arccosinus. I. Die lokalen Lösungen, Publ. Math. Debrecen 12(1965), 159-174.
    • (1965) Publ. Math. Debrecen , vol.12 , pp. 159-174
    • Goiab, S.1    Losonczi, L.2
  • 121
    • 34250276718 scopus 로고
    • On extensions of homomorphisms
    • A. Grzşiślewicz, On extensions of homomorphisms, Aequationes Math. 17(1978), no. 2-3, 199-207.
    • (1978) Aequationes Math. , vol.17 , Issue.2-3 , pp. 199-207
    • Grzşiślewicz, A.1
  • 122
    • 30144440957 scopus 로고
    • Some remarks to additive functions
    • A. Grza̧ślewicz, Some remarks to additive functions, Math. Japon. 23(1978/79), no. 5, 573-578.
    • (1978) Math. Japon. , vol.23 , Issue.5 , pp. 573-578
    • Grza̧ślewicz, A.1
  • 123
    • 30144435102 scopus 로고
    • On the solution of the system of functional equations related to quadratic functionals
    • A. Grza̧ślewicz, On the solution of the system of functional equations related to quadratic functionals, Glas. Mat. Ser. Ill 14(34) (1979), no. 1, 77-82.
    • (1979) Glas. Mat. Ser. Ill , vol.14 , Issue.1-34 , pp. 77-82
    • Grza̧ślewicz, A.1
  • 126
    • 84931229077 scopus 로고
    • On a class of convex functions (in Italian)
    • A. Guerraggio and L. Paganoni, On a class of convex functions (in Italian), Riv. Mat. Univ. Parma (4) 4(1978), 239-245 (1979).
    • (1978) Riv. Mat. Univ. Parma , vol.4 , Issue.4 , pp. 239-245
    • Guerraggio, A.1    Paganoni, L.2
  • 127
    • 0000089210 scopus 로고
    • Etude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann
    • J. Hadamard, Etude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann, J. Math. Pures Appl. 58(1893), 171-215.
    • (1893) J. Math. Pures Appl. , vol.58 , pp. 171-215
    • Hadamard, J.1
  • 128
    • 0013522209 scopus 로고
    • The University of New Mexico Press, Albuquerque, N. M.
    • H. Hahn and A. Rosenthal, Set Functions, The University of New Mexico Press, Albuquerque, N. M., 1948.
    • (1948) Set Functions
    • Hahn, H.1    Rosenthal, A.2
  • 129
    • 0004207439 scopus 로고
    • Springer-Verlag, New York-Heidelberg-Berlin
    • P. R. Halmos, Measure Theory, Springer-Verlag, New York-Heidelberg- Berlin, 1974.
    • (1974) Measure Theory
    • Halmos, P.R.1
  • 130
    • 0004098224 scopus 로고
    • Reprint of the 1960 edition, Undergraduate Texts in Mathematics, Springer-Verlag, New York-Heidelberg
    • P. R. Haimos, Naive set theory, Reprint of the 1960 edition, Undergraduate Texts in Mathematics, Springer-Verlag, New York-Heidelberg, 1974.
    • (1974) Naive Set Theory
    • Haimos, P.R.1
  • 131
    • 84892279963 scopus 로고
    • Non-flnite solutions of the equation f (x + y) = f (x) + f (y)
    • I. Halperin, Non-flnite solutions of the equation f (x + y) = f (x) + f (y), Bull. Amer. Math. Soc. 54(1948), 1063.
    • (1948) Bull. Amer. Math. Soc. , vol.54 , pp. 1063
    • Halperin, I.1
  • 132
    • 84968503715 scopus 로고
    • Non-measurable sets and, the equation f (x+y) = f (x) +f (y)
    • I. Halperin, Non-measurable sets and, the equation f (x+y) = f (x) +f (y), Proc. Amer. Math. Soc. 2(1951), 221-224.
    • (1951) Proc. Amer. Math. Soc. , vol.2 , pp. 221-224
    • Halperin, I.1
  • 133
    • 84966206244 scopus 로고
    • Bases in vector spaces and, the axiom of choice
    • J. D. Halpern, Bases in vector spaces and, the axiom of choice, Proc. Amer. Math. Soc. 17(1966), 670-673.
    • (1966) Proc. Amer. Math. Soc. , vol.17 , pp. 670-673
    • Halpern, J.D.1
  • 134
    • 34250967079 scopus 로고
    • Eine Basis aller Zahlen und die unstetigen Lösungen der Funktionalgleichung: F (x + y) = f (x) + f (y)
    • G. Hamel, Eine Basis aller Zahlen und die unstetigen Lösungen der Funktionalgleichung: f (x + y) = f (x) + f (y), Math. Ann. 60(1905), no. 3, 459-462.
    • (1905) Math. Ann. , vol.60 , Issue.3 , pp. 459-462
    • Hamel, G.1
  • 135
    • 0000600466 scopus 로고
    • Some simple inequalities satisfied by convex functions
    • G. H. Hardy, J. E. Littlewood, and G. Polya, Some simple inequalities satisfied by convex functions, Messenger Math. 58(1928/29), 145-152.
    • (1928) Messenger Math. , vol.58 , pp. 145-152
    • Hardy, G.H.1    Littlewood, J.E.2    Polya, G.3
  • 137
    • 0011322057 scopus 로고
    • A remark on Cauchy's equation
    • S. Hartman, A remark on Cauchy's equation, Colloq. Math. 8(1961), 77-79.
    • (1961) Colloq. Math. , vol.8 , pp. 77-79
    • Hartman, S.1
  • 140
    • 84892330449 scopus 로고
    • Set-valued additive functions
    • D. Henney, Set-valued additive functions, Riv. Mat. Univ. Parma (2) 9(1968), 43-46.
    • (1968) Riv. Mat. Univ. Parma , vol.9 , Issue.2 , pp. 43-46
    • Henney, D.1
  • 141
    • 84889971568 scopus 로고
    • A note on abstract polynomials in complex spaces
    • I. E. Highberg, A note on abstract polynomials in complex spaces, J. Math. Pures Appl. (9) 16(1937), 307-314.
    • (1937) J. Math. Pures Appl. , vol.16 , Issue.9 , pp. 307-314
    • Highberg, I.E.1
  • 144
    • 34250472676 scopus 로고
    • On the system of functional equations f (x + y) = f (x) + f (y) and, f (xy) =p (x) f (y) +q (y) f (x)
    • S. Horinouchi and PI. Kannappan, On the system of functional equations f (x + y) = f (x) + f (y) and, f (xy) =p (x) f (y) +q (y) f (x), Aequationes Math. 6(1971), 195-201.
    • (1971) Aequationes Math. , vol.6 , pp. 195-201
    • Horinouchi, S.1    Kannappan, P.I.2
  • 145
    • 0012477793 scopus 로고
    • On an alternative functional equation (in Hungarian)
    • M. Hosszú, On an alternative functional equation (in Hungarian), Mat. Lapok 14(1963), 98-102.
    • (1963) Mat. Lapok , vol.14 , pp. 98-102
    • Hosszú, M.1
  • 146
    • 12844257037 scopus 로고
    • On the Fréchet's functional equation
    • 14
    • M. Hosszú, On the Fréchet's functional equation, Bul. Inst. Politehn. Iasi (N. S.) 10(14) (1964), no. 1-2, 27-28.
    • (1964) Bul. Inst. Politehn. Iasi (N. S.) , vol.10 , Issue.1-2 , pp. 27-28
    • Hosszú, M.1
  • 148
    • 84892299006 scopus 로고
    • Sur la fonction convexe
    • M. Hukuhara, Sur la fonction convexe, Proc. Japan Acad. 30(1954), 683-685.
    • (1954) Proc. Japan Acad. , vol.30 , pp. 683-685
    • Hukuhara, M.1
  • 149
    • 0002820724 scopus 로고
    • Zur Theorie der analytischen Mengen
    • W. Hurewicz, Zur Theorie der analytischen Mengen, Fund. Math. 15(1930), 4-17.
    • (1930) Fund. Math. , vol.15 , pp. 4-17
    • Hurewicz, W.1
  • 150
    • 0001260759 scopus 로고
    • On the stability of the linear functional equation
    • D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U. S. A. 27(1941), 222-224.
    • (1941) Proc. Natl. Acad. Sci. U. S. A. , vol.27 , pp. 222-224
    • Hyers, D.H.1
  • 151
    • 84972502112 scopus 로고
    • Transformations with, bounded mth differences
    • D. H. Hyers, Transformations with, bounded mth differences, Pacific J. Math. 11(1961), 591-602.
    • (1961) Pacific J. Math. , vol.11 , pp. 591-602
    • Hyers, D.H.1
  • 152
    • 84892248707 scopus 로고
    • A note on Fréchet's definition of "polynômes abstraits"
    • D. H. Hyers, A note on Fréchet's definition of "polynômes abstraits", Houston J. Math. 4(1978), no. 3, 359-362.
    • (1978) Houston J. Math. , vol.4 , Issue.3 , pp. 359-362
    • Hyers, D.H.1
  • 153
  • 155
    • 0002628112 scopus 로고
    • Om konvekse funktioner og uligheder imellem middelvaerdier
    • J. L. W. V. Jensen, Om konvekse funktioner og uligheder imellem middelvaerdier, Nyt. Tidsskrift for Mathematik 16 B (1905), 49-69.
    • (1905) Nyt. Tidsskrift for Mathematik , vol.16 B , pp. 49-69
    • Jensen, J.L.W.V.1
  • 156
    • 34250609333 scopus 로고
    • Sur les fonctions convexes et les inégalités entre les valeurs moyennes
    • J. L. W. V. Jensen, Sur les fonctions convexes et les inégalités entre les valeurs moyennes, Acta Math. 30(1906), no. 1, 175-193.
    • (1906) Acta Math. , vol.30 , Issue.1 , pp. 175-193
    • Jensen, J.L.W.V.1
  • 157
    • 0010023302 scopus 로고
    • Connected, and, disconnected plane sets and, the functional equation f (x) + f (y) = f (x + y)
    • F. B. Jones, Connected, and, disconnected plane sets and, the functional equation f (x) + f (y) = f (x + y), Bull. Amer. Math. Soc. 48(1942), 115-120.
    • (1942) Bull. Amer. Math. Soc. , vol.48 , pp. 115-120
    • Jones, F.B.1
  • 158
    • 0010715606 scopus 로고
    • Measure and, other properties of a Hamel basis
    • F. B. Jones, Measure and, other properties of a Hamel basis, Bull. Amer. Math. Soc. 48(1942), 472-481.
    • (1942) Bull. Amer. Math. Soc. , vol.48 , pp. 472-481
    • Jones, F.B.1
  • 159
    • 84968466621 scopus 로고
    • On Cauchy's functional equation
    • W. B. Jurkat, On Cauchy's functional equation, Proc. Amer. Math. Soc. 16(1965), 683-686.
    • (1965) Proc. Amer. Math. Soc. , vol.16 , pp. 683-686
    • Jurkat, W.B.1
  • 160
    • 0348113272 scopus 로고
    • Une remarque sur les équations fonctionnelles
    • M. Kac, Une remarque sur les équations fonctionnelles, Comment. Math. Helv. 9(1936), no. 1, 170-171.
    • (1936) Comment. Math. Helv. , vol.9 , Issue.1 , pp. 170-171
    • Kac, M.1
  • 162
    • 84892343847 scopus 로고
    • On a functional equation related to the Cauchy equation
    • Pl. Kannappan and M. Kuczma, On a functional equation related to the Cauchy equation, Ann. Polon. Math. 30(1974), 49-55.
    • (1974) Ann. Polon. Math. , vol.30 , pp. 49-55
    • Kannappan, Pl.1    Kuczma, M.2
  • 163
    • 30144434520 scopus 로고
    • Some relations between additive functions, I.; II
    • 6, 1971, 46-58
    • PI. Kannappan and S. Kurepa, Some relations between additive functions, I.; II., Aequationes Math. 4(1970), 163-176; 6, (1971), 46-58.
    • (1970) Aequationes Math. , vol.4 , pp. 163-176
    • Kannappan, P.I.1    Kurepa, S.2
  • 164
    • 0000671255 scopus 로고
    • Sur une inégalité relative aux fonctions convexes
    • J. Karamata, Sur une inégalité relative aux fonctions convexes, Publ. Math. Univ. Belgrade 1(1932), 145-148.
    • (1932) Publ. Math. Univ. Belgrade , vol.1 , pp. 145-148
    • Karamata, J.1
  • 165
  • 167
    • 84968500706 scopus 로고
    • On the regularity of generalized convex functions
    • J. H. B. Kemperman, On the regularity of generalized convex functions, Trans. Amer. Math. Soc. 135(1969), 69-93.
    • (1969) Trans. Amer. Math. Soc. , vol.135 , pp. 69-93
    • Kemperman, J.H.B.1
  • 168
    • 34250408925 scopus 로고
    • The dual of the cone of all convex functions on a vector space
    • J. H. B. Kemperman, The dual of the cone of all convex functions on a vector space, Aequationes Math. 13(1975), no. 1/2, 103-119.
    • (1975) Aequationes Math. , vol.13 , Issue.1-2 , pp. 103-119
    • Kemperman, J.H.B.1
  • 169
    • 79551496189 scopus 로고
    • On the functional equation f (x + y) = f (x) + f (y)
    • H. Kestelman, On the functional equation f (x + y) = f (x) + f (y), Fund. Math. 34(1947), 144-147.
    • (1947) Fund. Math. , vol.34 , pp. 144-147
    • Kestelman, H.1
  • 170
    • 84960559011 scopus 로고
    • Automorphisms of the field of complex numbers
    • H. Kestelman, Automorphisms of the field of complex numbers, Proc. London Math. Soc. (2) 53(1951), 1-12.
    • (1951) Proc. London Math. Soc. , vol.53 , Issue.2 , pp. 1-12
    • Kestelman, H.1
  • 171
    • 72549099141 scopus 로고
    • On some classes connected with the continuity of additive and, Q-convex functions
    • B. Kominek and Z. Kominek, On some classes connected with the continuity of additive and, Q-convex functions, Uniw. Śla̧ski w Katowicach Prace Nauk.-Prace Mat. No. 8, (1978), 60-63.
    • (1978) Uniw. Śla̧ski w Katowicach Prace Nauk.-prace Mat. , Issue.8 , pp. 60-63
    • Kominek, B.1    Kominek, Z.2
  • 172
    • 0007280730 scopus 로고
    • On the sum and difference of two sets in topological vector spaces
    • Z. Kominek, On the sum and difference of two sets in topological vector spaces, Fund. Math. 71(1971), no. 2, 165-169.
    • (1971) Fund. Math. , vol.71 , Issue.2 , pp. 165-169
    • Kominek, Z.1
  • 173
    • 34250237437 scopus 로고
    • On the continuity of Q-convex functions and additive functions
    • Z. Kominek, On the continuity of Q-convex functions and additive functions, Aequationes Math. 23(1981), no. 2-3, 146-150.
    • (1981) Aequationes Math. , vol.23 , Issue.2-3 , pp. 146-150
    • Kominek, Z.1
  • 175
  • 178
    • 0012680216 scopus 로고
    • Almost convex functions
    • M. Kuczma, Almost convex functions, Colloq. Math. 21(1970), 279-284.
    • (1970) Colloq. Math. , vol.21 , pp. 279-284
    • Kuczma, M.1
  • 179
    • 34250494392 scopus 로고
    • Some remarks about additive functions on cones
    • M. Kuczma, Some remarks about additive functions on cones, Aequationes Math. 4(1970), 303-306.
    • (1970) Aequationes Math. , vol.4 , pp. 303-306
    • Kuczma, M.1
  • 180
    • 84892358502 scopus 로고
    • Some remarks on convexity and monotonicity
    • M. Kuczma, Some remarks on convexity and monotonicity, Rev. Roumaine Math. Pures Appl. 15(1970), 1463-1469.
    • (1970) Rev. Roumaine Math. Pures Appl. , vol.15 , pp. 1463-1469
    • Kuczma, M.1
  • 181
    • 84892306406 scopus 로고
    • Edizioni Cremonese, Roma, Corso tenuto a La Mendola Trento dal 20 al 28 agosto 1970
    • M. Kuczma, Convex functions, Functional Equations and Inequalities, Edizioni Cremonese, Roma, 1971, [Corso tenuto a La Mendola (Trento) dal 20 al 28 agosto 1970], pp. 195-213.
    • (1971) Convex Functions, Functional Equations and Inequalities , pp. 195-213
    • Kuczma, M.1
  • 183
    • 0042082187 scopus 로고
    • Cauchy's functional equation on a restricted domain
    • M. Kuczma, Cauchy's functional equation on a restricted domain, Colloq. Math. 28(1973), 313-315.
    • (1973) Colloq. Math. , vol.28 , pp. 313-315
    • Kuczma, M.1
  • 184
    • 0039363380 scopus 로고
    • On some set classes occurring in the theory of convex functions
    • M. Kuczma, On some set classes occurring in the theory of convex functions, Comment. Math. Prace Mat. 17(1973), 127-135.
    • (1973) Comment. Math. Prace Mat. , vol.17 , pp. 127-135
    • Kuczma, M.1
  • 185
    • 84892212331 scopus 로고
    • Additive functions and the Egorov theorem, general inequalities, 1 (Oberwolfach, 1976)
    • E. F. Beckenbach, ed., Birkhauser, Basel
    • M. Kuczma Additive functions and the Egorov theorem, General Inequalities, 1 (Oberwolfach, 1976), (E. F. Beckenbach, ed.), International Series of Numerical Mathematics, vol. 41, Birkhauser, Basel, 1978, pp. 169-173.
    • (1978) International Series of Numerical Mathematics , vol.41 , pp. 169-173
    • Kuczma, M.1
  • 186
    • 27844612429 scopus 로고
    • On some alternative functional equations
    • M. Kuczma, On some alternative functional equations, Aequationes Math. 17(1978), no. 2-3, 182-198.
    • (1978) Aequationes Math. , vol.17 , Issue.2-3 , pp. 182-198
    • Kuczma, M.1
  • 187
    • 14944366328 scopus 로고
    • Functional equations on restricted domain
    • M. Kuczma, Functional equations on restricted domain, Aequationes Math. 18(1978), 1-35.
    • (1978) Aequationes Math. , vol.18 , pp. 1-35
    • Kuczma, M.1
  • 188
    • 84892328198 scopus 로고
    • On some properties of Erdos sets
    • M. Kuczma, On some properties of Erdos sets, Colloq. Math. 48(1984), no. 1, 127-134.
    • (1984) Colloq. Math. , vol.48 , Issue.1 , pp. 127-134
    • Kuczma, M.1
  • 189
    • 84892251109 scopus 로고
    • On some analogies between measure and, category and, their applications in the theory of additive functions
    • M. Kuczma, On some analogies between measure and, category and, their applications in the theory of additive functions, Ann. Math. Sil. (1985), no. 13, 155-162.
    • (1985) Ann. Math. Sil. , Issue.13 , pp. 155-162
    • Kuczma, M.1
  • 190
    • 34250387164 scopus 로고
    • On measures connected with the Cauchy equation
    • M. Kuczma and J. Smítal, On measures connected with the Cauchy equation, Aequationes Math. 14(1976), no. 3, 421-428.
    • (1976) Aequationes Math. , vol.14 , Issue.3 , pp. 421-428
    • Kuczma, M.1    Smítal, J.2
  • 191
    • 52549099887 scopus 로고
    • On discontinuous additive functions
    • M. E. Kuczma, On discontinuous additive functions, Fund. Math. 66(1969/1970), 383-392.
    • (1969) Fund. Math. , vol.66 , pp. 383-392
    • Kuczma, M.E.1
  • 192
    • 53349095814 scopus 로고
    • A generalization of Steinhaus' theorem to coordinatewise measure preserving binary transformations
    • M. E. Kuczma, A generalization of Steinhaus' theorem to coordinatewise measure preserving binary transformations, Colloq. Math. 36(1976), no. 2, 241-248.
    • (1976) Colloq. Math. , vol.36 , Issue.2 , pp. 241-248
    • Kuczma, M.E.1
  • 193
    • 53349107697 scopus 로고
    • Differentiation of implicit functions and Steinhaus' theorem in topological measure spaces
    • 189
    • M. E. Kuczma, Differentiation of implicit functions and Steinhaus' theorem in topological measure spaces, Colloq. Math. 39(1978), no. 1, 95-107, 189.
    • (1978) Colloq. Math. , vol.39 , Issue.1 , pp. 95-107
    • Kuczma, M.E.1
  • 194
    • 0346224035 scopus 로고
    • An elementary proof and, an extension of a theorem of Steinhaus
    • M. E. Kuczma and M. Kuczma, An elementary proof and, an extension of a theorem of Steinhaus, Glasnik Mat. Ser. Ill 6(26) (1971), 11-18.
    • (1971) Glasnik Mat. Ser. Ill , vol.6 , Issue.26 , pp. 11-18
    • Kuczma, M.E.1    Kuczma, M.2
  • 195
    • 79951832540 scopus 로고
    • On the existence of maps having graphs connected, and, dense
    • W. Kulpa, On the existence of maps having graphs connected, and, dense, Fund. Math. 76(1972), no. 3, 207-211.
    • (1972) Fund. Math. , vol.76 , Issue.3 , pp. 207-211
    • Kulpa, W.1
  • 197
    • 0010830092 scopus 로고
    • Une méthode d, 'élimination des nombres transfinis des raisonnements mathématiques
    • K. Kuratowski, Une méthode d, 'élimination des nombres transfinis des raisonnements mathématiques, Fund. Math. 3(1922), 76-108.
    • (1922) Fund. Math. , vol.3 , pp. 76-108
    • Kuratowski, K.1
  • 198
    • 0003820599 scopus 로고
    • Translated from the 1966 Polish original, revised ed., North-Holland Publishing Co., Amsterdam-New York-Oxford; PWN-Polish Scientific Publishers, Warsaw, Studies in Logic and the Foundations of Mathematics
    • K. Kuratowski and A. Mostowski, Set theory, With an introduction to descriptive set theory, Translated from the 1966 Polish original, revised ed., North-Holland Publishing Co., Amsterdam-New York-Oxford; PWN-Polish Scientific Publishers, Warsaw, 1976, Studies in Logic and the Foundations of Mathematics, Vol. 86.
    • (1976) Set Theory, with an Introduction to Descriptive Set Theory , vol.86
    • Kuratowski, K.1    Mostowski, A.2
  • 202
    • 30144444807 scopus 로고
    • Remarks on the Cauchy functional equation
    • S. Kurepa, Remarks on the Cauchy functional equation, Publ. Inst. Math. (Beograd) (N. S.) 5(19) (1965), 85-88.
    • (1965) Publ. Inst. Math. (Beograd) (N. S.) , vol.5 , Issue.19 , pp. 85-88
    • Kurepa, S.1
  • 204
    • 0043058704 scopus 로고
    • Applications of extensions of additive functions
    • K. Lajkó, Applications of extensions of additive functions, Aequationes Math. 11(1974), 68-76.
    • (1974) Aequationes Math. , vol.11 , pp. 68-76
    • Lajkó, K.1
  • 205
    • 51249195027 scopus 로고
    • Auswahlaxiom in der Algebra
    • H. Läuchli, Auswahlaxiom in der Algebra, Comment. Math. Helv. 37(1962/1963), 1-18.
    • (1962) Comment. Math. Helv. , vol.37 , pp. 1-18
    • Läuchli, H.1
  • 207
    • 84892262151 scopus 로고
    • A note on an inequality
    • V. K. Lim, A note on an inequality, Nanta Math. 5(1971), no. 1, 38-40.
    • (1971) Nanta Math. , vol.5 , Issue.1 , pp. 38-40
    • Lim, V.K.1
  • 209
    • 3042612888 scopus 로고
    • Bestimmung aller nichtkonstanten Lösungen von linearen Funktionalgleichungen
    • L. Losonczi, Bestimmung aller nichtkonstanten Lösungen von linearen Funktionalgleichungen, Acta Sci. Math. (Szeged) 25(1964), 250-254.
    • (1964) Acta Sci. Math. (Szeged) , vol.25 , pp. 250-254
    • Losonczi, L.1
  • 210
    • 0000964103 scopus 로고
    • Sur un probléme de M. Baire
    • N. Lusin, Sur un probléme de M. Baire, C. R. Acad. Sci. Paris 158(1914), 1258-1261.
    • (1914) C. R. Acad. Sci. Paris , vol.158 , pp. 1258-1261
    • Lusin, N.1
  • 211
    • 0000948924 scopus 로고
    • Sur les ensembles analytiques
    • N. Lusin, Sur les ensembles analytiques, Fund. Math. 10(1927), 1-95.
    • (1927) Fund. Math. , vol.10 , pp. 1-95
    • Lusin, N.1
  • 212
    • 0007395635 scopus 로고
    • Sur une décomposition d'un intervalle en une infinité non dénombrable d'ensembles non mesurables
    • N. Lusin and W. Sierpiriski, Sur une décomposition d'un intervalle en une infinité non dénombrable d'ensembles non mesurables, C. R. Acad. Sci. Paris 165(1917), 422-424.
    • (1917) C. R. Acad. Sci. Paris , vol.165 , pp. 422-424
    • Lusin, N.1    Sierpiriski, W.2
  • 213
    • 0005834361 scopus 로고
    • Sur une définition des ensembles mesurables B sans nombres transfinis
    • N. Lusin and M. Souslin, Sur une définition des ensembles mesurables B sans nombres transfinis, C. R. Acad. Sci. Paris 164(1917), 88.
    • (1917) C. R. Acad. Sci. Paris , vol.164 , pp. 88
    • Lusin, N.1    Souslin, M.2
  • 214
    • 84892358528 scopus 로고
    • Über invertierbare Lösungen der additiven Cauchy- Funktionalgleichung
    • I. Makai, Über invertierbare Lösungen der additiven Cauchy-Funktionalgleichung, Publ. Math. Debrecen 16(1969), 239-243.
    • (1969) Publ. Math. Debrecen , vol.16 , pp. 239-243
    • Makai, I.1
  • 216
    • 84885646865 scopus 로고
    • Sur un problème de la théorie de la mesure de H. Steinhaus et S. Ruziewicz
    • S. Marcus, Sur un problème de la théorie de la mesure de H. Steinhaus et S. Ruziewicz, Bull. Acad. Polon. Sci. Cl. III. 4(1956), 197-199.
    • (1956) Bull. Acad. Polon. Sci. Cl. III. , vol.4 , pp. 197-199
    • Marcus, S.1
  • 217
    • 84865897704 scopus 로고
    • Sur une classe de fonctions définies par des iné galités, introduite par M. Á. Császár
    • S. Marcus, Sur une classe de fonctions définies par des inégalités, introduite par M. Á. Császár, Acta Sci. Math. Szeged 19(1958), 192-218.
    • (1958) Acta Sci. Math. Szeged , vol.19 , pp. 192-218
    • Marcus, S.1
  • 218
    • 84972492498 scopus 로고
    • Généralisation, aux fonctions de plusieurs variables, des théorèmes de Alexander Ostrowski et de Masuo Hukuhara concernant les fonctions convexes (J)
    • S. Marcus, Généralisation, aux fonctions de plusieurs variables, des théorèmes de Alexander Ostrowski et de Masuo Hukuhara concernant les fonctions convexes (J), J. Math. Soc. Japan 11(1959), 171-176.
    • (1959) J. Math. Soc. Japan , vol.11 , pp. 171-176
    • Marcus, S.1
  • 219
    • 84892329182 scopus 로고
    • On measurability and, Baire property (in Polish)
    • Warszawa, 1929, Ksia̧żnica Atlas, Warszawa
    • E. Marczewski, On measurability and, Baire property (in Polish), C. R. I Congrès Math, des Pays Slaves, Warszawa, 1929, Ksia̧żnica Atlas, Warszawa, 1930, pp. 297-309.
    • (1930) C. R. I Congrès Math, des Pays Slaves , pp. 297-309
    • Marczewski, E.1
  • 220
    • 84892219512 scopus 로고
    • Remarques sur les fonctions de Hamel
    • E. Marczewski, Remarques sur les fonctions de Hamel, Colloq. Math. 1(1948), 249-250.
    • (1948) Colloq. Math. , vol.1 , pp. 249-250
    • Marczewski, E.1
  • 222
    • 0009007077 scopus 로고
    • Grundlegende Eigenschaften der polynomischen Operationen I., II.
    • 179-189
    • S. Mazur and W. Orlicz, Grundlegende Eigenschaften der polynomischen Operationen I., II., Studia Math. 5(1934), 50-68, 179-189.
    • (1934) Studia Math. , vol.5 , pp. 50-68
    • Mazur, S.1    Orlicz, W.2
  • 223
    • 34247348521 scopus 로고
    • On vanishing nth ordered differences and, Hamel bases
    • M. A. McKiernan, On vanishing nth ordered differences and, Hamel bases, Ann. Polon. Math. 19(1967), 331-336.
    • (1967) Ann. Polon. Math. , vol.19 , pp. 331-336
    • McKiernan, M.A.1
  • 224
    • 84962991730 scopus 로고
    • On convex functions
    • M. R. Mehdi, On convex functions, J. London Math. Soc. 39(1964), 321-326.
    • (1964) J. London Math. Soc. , vol.39 , pp. 321-326
    • Mehdi, M.R.1
  • 226
    • 0004177337 scopus 로고
    • cooperation with P. M. Vasić, Springer-Verlag, New York-Berlin
    • D. S. Mitrinović, Analytic inequalities, In cooperation with P. M. Vasić, Springer-Verlag, New York-Berlin, 1970.
    • (1970) Analytic Inequalities
    • Mitrinović, D.S.1
  • 227
    • 84979309247 scopus 로고
    • Beitrag zur Theorie der konvexen Funktionen
    • E. Mohr, Beitrag zur Theorie der konvexen Funktionen, Math. Nachr. 8(1952), 133-148.
    • (1952) Math. Nachr. , vol.8 , pp. 133-148
    • Mohr, E.1
  • 228
    • 0042810573 scopus 로고
    • Sur une généralisation de la notion de convexité (in Romanian)
    • E. Moldovan, Sur une généralisation de la notion de convexité (in Romanian), Acad. R. P. Romìne. Fil. Cluj. Stud. Cerc. Şti. Ser. I 6(1955), no. 3-4, 65-73.
    • (1955) Acad. R. P. Romìne. Fil. Cluj. Stud. Cerc. Şti. Ser. I , vol.6 , Issue.3-4 , pp. 65-73
    • Moldovan, E.1
  • 229
    • 84892339201 scopus 로고
    • Propriétés des fonctions convexes géné ralisées (in Romanian)
    • E. Moldovan, Propriétés des fonctions convexes généralisées (in Romanian), Acad. R. P. Romine. Fil. Cluj. Stud. Cerc. Mat. 8(1957), 21-35.
    • (1957) Acad. R. P. Romine. Fil. Cluj. Stud. Cerc. Mat. , vol.8 , pp. 21-35
    • Moldovan, E.1
  • 230
    • 84892279533 scopus 로고
    • O pojmu konveksnih funkcija
    • E. Moldovan, O pojmu konveksnih funkcija, Matematička biblioteka 42(1969), 25-40.
    • (1969) Matematička Biblioteka , vol.42 , pp. 25-40
    • Moldovan, E.1
  • 231
    • 77953423015 scopus 로고
    • Note on characterizations of some set-classes connected with the continuity of additive functions
    • J. Moscicki, Note on characterizations of some set-classes connected with the continuity of additive functions, Uniw. Śla̧ski w Katowicach Prace Nauk.-Prace Mat. (1982), no. 12, 47-52.
    • (1982) Uniw. Śla̧ski w Katowicach Prace Nauk.-prace Mat. , Issue.12 , pp. 47-52
    • Moscicki, J.1
  • 232
    • 84892210671 scopus 로고
    • Sur une hypothèse au sujet des fonctions subadditives
    • Z. Moszner, Sur une hypothèse au sujet des fonctions subadditives, Aequationes Math. 2(1969), 380-386.
    • (1969) Aequationes Math. , vol.2 , pp. 380-386
    • Moszner, Z.1
  • 233
    • 12844249626 scopus 로고
    • Sur la stabilité de l'équation d'homomorphisme
    • Z. Moszner, Sur la stabilité de l'équation d'homomorphisme, Aequationes Math. 29(1985), no. 2-3, 290-306.
    • (1985) Aequationes Math. , vol.29 , Issue.2-3 , pp. 290-306
    • Moszner, Z.1
  • 234
    • 84960555495 scopus 로고
    • On generalizations of Minkowski's inequality in the form, of a triangle inequality
    • H. P. Mulholland, On generalizations of Minkowski's inequality in the form, of a triangle inequality, Proc. London Math. Soc. (2) 51(1950), 294-307.
    • (1950) Proc. London Math. Soc. , vol.51 , Issue.2 , pp. 294-307
    • Mulholland, H.P.1
  • 235
    • 34250414936 scopus 로고
    • On a generalization of the Cauchy equation
    • B. Nagy, On a generalization of the Cauchy equation, Aequationes Math. 11(1974), 165-171.
    • (1974) Aequationes Math. , vol.11 , pp. 165-171
    • Nagy, B.1
  • 236
    • 84892311328 scopus 로고
    • Normed rings (in Russian)
    • Moscow, Second edition, revised
    • M. A. Naimark, Normed rings (in Russian), Izdat. "Nauka", Moscow, 1968, Second edition, revised.
    • (1968) Izdat. "Nauka"
    • Naimark, M.A.1
  • 237
    • 0003401599 scopus 로고
    • Theory of functions of a real variable (in Russian)
    • Moscow-Leningrad
    • I. P. Natanson, Theory of functions of a real variable (in Russian), Gosudarstv. Izdat. Tehn-Teor. Lit., Moscow-Leningrad, 1950.
    • (1950) Gosudarstv. Izdat. Tehn-Teor. Lit.
    • Natanson, I.P.1
  • 238
    • 34250250928 scopus 로고
    • On convex stochastic processes
    • K. Nikodem, On convex stochastic processes, Aequationes Math. 20(1980), no. 2-3, 184-197.
    • (1980) Aequationes Math. , vol.20 , Issue.2-3 , pp. 184-197
    • Nikodem, K.1
  • 239
    • 84892191230 scopus 로고
    • On additive set-valued functions
    • K. Nikodem, On additive set-valued functions, Rev. Roumaine Math. Pures Appl. 26(1981), no. 7, 1005-1013.
    • (1981) Rev. Roumaine Math. Pures Appl. , vol.26 , Issue.7 , pp. 1005-1013
    • Nikodem, K.1
  • 240
    • 3042656123 scopus 로고
    • Additive set valued functions in Hilbert spaces
    • K. Nikodem, Additive set valued functions in Hilbert spaces, Rev. Roumaine Math. Pures Appl. 28(1983), no. 3, 239-242.
    • (1983) Rev. Roumaine Math. Pures Appl. , vol.28 , Issue.3 , pp. 239-242
    • Nikodem, K.1
  • 241
    • 2442592538 scopus 로고
    • On Jensen's functional equation for set-valued functions
    • K. Nikodem, On Jensen's functional equation for set-valued functions, Rad. Mat. 3(1987), no. 1, 23-33.
    • (1987) Rad. Mat. , vol.3 , Issue.1 , pp. 23-33
    • Nikodem, K.1
  • 242
    • 0007122197 scopus 로고
    • On midpoint convex set-valued functions
    • K. Nikodem, On midpoint convex set-valued functions, Aequationes Math. 33(1987), no. 1, 46-56.
    • (1987) Aequationes Math. , vol.33 , Issue.1 , pp. 46-56
    • Nikodem, K.1
  • 245
    • 84972513421 scopus 로고
    • La puissance de certaines classes de fonctions
    • F. Obreanu, La puissance de certaines classes de fonctions, Duke Math. J. 14(1947), 377-380.
    • (1947) Duke Math. J. , vol.14 , pp. 377-380
    • Obreanu, F.1
  • 246
    • 0001258040 scopus 로고
    • Linear equations in non-commutative fields
    • O. Ore, Linear equations in non-commutative fields, Ann. of Math. (2) 32(1931), no. 3, 463-477.
    • (1931) Ann. of Math. , vol.32 , Issue.2-3 , pp. 463-477
    • Ore, O.1
  • 247
    • 0346852606 scopus 로고
    • Some remarks on the convergence of functionals on bases
    • W. Orlicz and Z. Ciesielski, Some remarks on the convergence of functionals on bases, Studia Math. 16(1958), 335-352.
    • (1958) Studia Math. , vol.16 , pp. 335-352
    • Orlicz, W.1    Ciesielski, Z.2
  • 248
    • 4644311899 scopus 로고
    • Über die Funktionalgleichung der Exponentialfunktion und verwandte Funktionalgleichungen
    • A. Ostrowski, Über die Funktionalgleichung der Exponentialfunktion und verwandte Funktionalgleichungen, Jber. Deutsch. Math.-Verein 38(1929), 54-62.
    • (1929) Jber. Deutsch. Math.-Verein , vol.38 , pp. 54-62
    • Ostrowski, A.1
  • 249
    • 34250592530 scopus 로고
    • Zur Theorie der konvexen Funktionen
    • A. Ostrowski, Zur Theorie der konvexen Funktionen, Comment. Math. Helv. 1(1929), no. 1, 157-159.
    • (1929) Comment. Math. Helv. , vol.1 , Issue.1 , pp. 157-159
    • Ostrowski, A.1
  • 250
    • 0003252917 scopus 로고
    • Measure and, category. A survey of the analogies between topological and, measure spaces
    • Springer-Verlag, New York-Berlin
    • J. C. Oxtoby, Measure and, category. A survey of the analogies between topological and, measure spaces, Graduate Texts in Mathematics, Vol. 2., Springer-Verlag, New York-Berlin, 1971.
    • (1971) Graduate Texts in Mathematics , vol.2
    • Oxtoby, J.C.1
  • 251
    • 84892275751 scopus 로고
    • Misure de Cauchy, Ostrowski e Steinhaus sull'asse reale
    • L. Paganoni, Misure de Cauchy, Ostrowski e Steinhaus sull'asse reale, Atti. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 109(1975), no. 1-2, 145-155.
    • (1975) Atti. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. , vol.109 , Issue.1-2 , pp. 145-155
    • Paganoni, L.1
  • 252
    • 84892355449 scopus 로고
    • Cauchy's functional equation on semigroups
    • L. Paganoni and St. Paganoni Marzegalli, Cauchy's functional equation on semigroups, Fund. Math. 110(1980), no. 1, 63-74.
    • (1980) Fund. Math. , vol.110 , Issue.1 , pp. 63-74
    • Paganoni, L.1    St. Paganoni, M.2
  • 253
    • 0000262263 scopus 로고
    • Sur une equation fonctionnelle
    • M. Petrovic, Sur une equation fonctionnelle, Publ. Math. Univ. Belgrade 1(1932), 149-156.
    • (1932) Publ. Math. Univ. Belgrade , vol.1 , pp. 149-156
    • Petrovic, M.1
  • 254
    • 1242273694 scopus 로고
    • Notiz über Funktionaltheoreme
    • H. W. Pexider, Notiz über Funktionaltheoreme, Monatsh. Math. Phys. 14(1903), no. 1, 293-301.
    • (1903) Monatsh. Math. Phys. , vol.14 , Issue.1 , pp. 293-301
    • Pexider, H.W.1
  • 255
    • 0001341581 scopus 로고
    • An inversion formula for Laplace transforms and, semi-groups of linear operators
    • R. S. Phillips, An inversion formula for Laplace transforms and, semi-groups of linear operators, Ann. of Math. (2) 59(1954), 325-356.
    • (1954) Ann. of Math. , vol.59 , Issue.2 , pp. 325-356
    • Phillips, R.S.1
  • 256
    • 22944433794 scopus 로고
    • Sur des ensembles parfaits
    • Secrétariat de l'Université, Neuchâtel
    • S. Piccard, Sur des ensembles parfaits, Mém. Univ. Neuchâtel, vol. 16, Secrétariat de l'Université, Neuchâtel, 1942.
    • (1942) Mém. Univ. Neuchâtel , vol.16
    • Piccard, S.1
  • 258
    • 35348893043 scopus 로고
    • Seven kinds of convexity
    • J. Ponstein, Seven kinds of convexity, SIAM Rev. 9(1967), 115-119.
    • (1967) SIAM Rev. , vol.9 , pp. 115-119
    • Ponstein, J.1
  • 259
    • 0002495914 scopus 로고
    • Sur quelques propriétés des fonctions d'une ou de deux variables réelles
    • T. Popoviciu, Sur quelques propriétés des fonctions d'une ou de deux variables réelles, Mathematica (Cluj) 8(1934), 1-85.
    • (1934) Mathematica (Cluj) , vol.8 , pp. 1-85
    • Popoviciu, T.1
  • 261
    • 0038835202 scopus 로고
    • One-parameter semigroups of subsets of a real linear space
    • 1960
    • H. Rådström, One-parameter semigroups of subsets of a real linear space, Ark. Mat. 4(1960), 87-97 (1960).
    • (1960) Ark. Mat. , vol.4 , pp. 87-97
    • Rådström, H.1
  • 262
    • 60749120450 scopus 로고
    • Biblioteka Matematyczna, Tom 30, Paristowe Wydawnictwo Naukowe, Warsaw, 1971. English edition: North-Holland Publishin Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York
    • H. Rasiowa, Wstȩp do matematyki wspolczesnej, Biblioteka Matematyczna, Tom 30, Paristowe Wydawnictwo Naukowe, Warsaw, 1971. English edition: North-Holland Publishin Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973.
    • (1973) Wstȩp do Matematyki Wspolczesnej
    • Rasiowa, H.1
  • 263
    • 34250390808 scopus 로고
    • On the homogeneity of additive mappings
    • J. Rätz, On the homogeneity of additive mappings, Aequationes Math. 14(1976), no. 1/2, 67-71.
    • (1976) Aequationes Math. , vol.14 , Issue.1-2 , pp. 67-71
    • Rätz, J.1
  • 264
    • 0001598216 scopus 로고
    • On approximately additive mappings, general inequalities, 2 (Oberwolfach, 1978)
    • E. F. Beckenbach, ed., Birkhäuser, Basel
    • J. Rätz On approximately additive mappings, General Inequalities, 2(Oberwolfach, 1978) (E. F. Beckenbach, ed.), International Series in Numerical Mathematics, vol. 47, Birkhäuser, Basel, 1980, pp. 233-251.
    • (1980) International Series in Numerical Mathematics , vol.47 , pp. 233-251
    • Rätz, J.1
  • 265
    • 84963001777 scopus 로고
    • On the group of a set of partial transformations
    • D. Rees, On the group of a set of partial transformations, J. London Math. Soc. 22(1947), 281-284 (1948).
    • (1947) J. London Math. Soc. , vol.22 , pp. 281-284
    • Rees, D.1
  • 266
    • 84892247628 scopus 로고
    • Court exposé des propriétés principales de la mesure de Lebesgue
    • M. Riesz, Court exposé des propriétés principales de la mesure de Lebesgue, Ann. Soc. Polon. Math. 25(1952), 298-308 (1953).
    • (1952) Ann. Soc. Polon. Math. , vol.25 , pp. 298-308
    • Riesz, M.1
  • 269
    • 3042960281 scopus 로고
    • Sub-additive functions
    • R. A. Rosenbaum, Sub-additive functions, Duke Math. J. 17(1950), 227-247.
    • (1950) Duke Math. J. , vol.17 , pp. 227-247
    • Rosenbaum, R.A.1
  • 271
    • 84892215240 scopus 로고
    • Une application de l'équation fonctionnelle f (x + y) = f (x) + f (y) à la décomposition de la droite en ensembles superposables, non-mesurables
    • S. Ruziewicz, Une application de l'équation fonctionnelle f (x + y) = f (x) + f (y) à la décomposition de la droite en ensembles superposables, non-mesurables, Fund. Math. 5(1924), 92-95.
    • (1924) Fund. Math. , vol.5 , pp. 92-95
    • Ruziewicz, S.1
  • 272
    • 84892359786 scopus 로고
    • On proper linearly invariant ideals of sets
    • M. Sablik, On proper linearly invariant ideals of sets, Glas. Mat. Ser. Ill 14(34) (1979), no. 1, 41-50.
    • (1979) Glas. Mat. Ser. Ill , vol.14 , Issue.1-34 , pp. 41-50
    • Sablik, M.1
  • 273
    • 33748789440 scopus 로고
    • Verallgemeinerungen eines Satzes von S. Piccard
    • W. Sander, Verallgemeinerungen eines Satzes von S. Piccard, Manuscripta Math. 16(1975), no. 1, 11-25.
    • (1975) Manuscripta Math. , vol.16 , Issue.1 , pp. 11-25
    • Sander, W.1
  • 274
    • 84892330073 scopus 로고
    • Verallgemeinerungen eines Satzes von H. Steinhaus
    • W. Sander, Verallgemeinerungen eines Satzes von H. Steinhaus Fund. Math. 1(1920), 93-104
    • (1920) Fund. Math. , vol.1 , pp. 93-104
    • Sander, W.1
  • 275
    • 84892253804 scopus 로고
    • Manuscripta Math. 18(1976), no. 1, 25-42.
    • (1976) Manuscripta Math. , vol.18 , Issue.1 , pp. 25-42
  • 276
    • 34250296762 scopus 로고
    • Erratum
    • Erratum: Manuscripta Math., 20(1977), no. 1, 101-103.
    • (1977) Manuscripta Math. , vol.20 , Issue.1 , pp. 101-103
  • 278
    • 0005877237 scopus 로고
    • Sur la question de la mesurabilité de la base de Hamel
    • W. Sierpiński, Sur la question de la mesurabilité de la base de Hamel, Fund. Math. 1(1920), 105-111.
    • (1920) Fund. Math. , vol.1 , pp. 105-111
    • Sierpiński, W.1
  • 279
    • 0011643956 scopus 로고
    • Sur un problème concernant les ensembles mesurables superficiellement
    • W. Sierpiński, Sur un problème concernant les ensembles mesurables superficiellement, Fund. Math. 1(1920), 112-115.
    • (1920) Fund. Math. , vol.1 , pp. 112-115
    • Sierpiński, W.1
  • 280
    • 25444434933 scopus 로고
    • Sur l'équation fonctionnelle f (x + y) = f (x) + f (y)
    • W. Sierpiriski, Sur l'équation fonctionnelle f (x + y) = f (x) + f (y), Fund. Math. 1(1920), 116-122.
    • (1920) Fund. Math. , vol.1 , pp. 116-122
    • Sierpiriski, W.1
  • 281
    • 0013234405 scopus 로고
    • Sur les fonctions convexes mesurables
    • W. Sierpiriski, Sur les fonctions convexes mesurables, Fund. Math. 1(1920), 125-128.
    • (1920) Fund. Math. , vol.1 , pp. 125-128
    • Sierpiriski, W.1
  • 282
    • 84892235116 scopus 로고
    • Sur une propriété des fonctions de M. Hamel
    • W. Sierpiriski, Sur une propriété des fonctions de M. Hamel, Fund. Math. 5(1924), 334-336.
    • (1924) Fund. Math. , vol.5 , pp. 334-336
    • Sierpiriski, W.1
  • 283
    • 0011604238 scopus 로고
    • Sur un ensemble non dénombrable, dont toute image continue est de mesure nulle
    • W. Sierpiriski, Sur un ensemble non dénombrable, dont toute image continue est de mesure nulle, Fund. Math. 11(1928), 302-304.
    • (1928) Fund. Math. , vol.11 , pp. 302-304
    • Sierpiriski, W.1
  • 284
    • 84892359733 scopus 로고
    • La base de M. Hamel et la propriété de Baire
    • W. Sierpiriski, La base de M. Hamel et la propriété de Baire, Publ. Math. Univ. Belgrade 4(1935), 221-225.
    • (1935) Publ. Math. Univ. Belgrade , vol.4 , pp. 221-225
    • Sierpiriski, W.1
  • 285
    • 84892349247 scopus 로고
    • Un théorème de la théorie générale de ensembles et ses conséquences
    • W. Sierpiriski, Un théorème de la théorie générale de ensembles et ses conséquences, Fund. Math. 24(1935), 8-11.
    • (1935) Fund. Math. , vol.24 , pp. 8-11
    • Sierpiriski, W.1
  • 286
    • 22344432669 scopus 로고
    • Les ensembles projectifs et analytiques
    • Gauthier-Villars, Paris
    • W. Sierpiriski, Les ensembles projectifs et analytiques, Mémor. Sci. Math., no. 112, Gauthier-Villars, Paris, 1950.
    • (1950) Mémor. Sci. Math. , Issue.112
    • Sierpiriski, W.1
  • 287
    • 84892202115 scopus 로고
    • On monotonic solutions of some functional equations
    • A. Smajdor, On monotonic solutions of some functional equations, Dissertationes Math. Rozprawy Mat. 82(1971), 58pp.
    • (1971) Dissertationes Math. Rozprawy Mat. , vol.82 , pp. 58
    • Smajdor, A.1
  • 288
    • 84892288357 scopus 로고
    • On the functional equation f (x + y) = f (x) + f (y)
    • J. Smital, On the functional equation f (x + y) = f (x) + f (y), Rev. Roumaine Math. Pures Appl. 13(1968), 555-561.
    • (1968) Rev. Roumaine Math. Pures Appl. , vol.13 , pp. 555-561
    • Smital, J.1
  • 289
    • 0346222040 scopus 로고
    • On boundedness and, discontinuity of additive functions
    • J. Smital, On boundedness and, discontinuity of additive functions, Fund. Math. 76(1972), no. 3, 245-253.
    • (1972) Fund. Math. , vol.76 , Issue.3 , pp. 245-253
    • Smital, J.1
  • 290
    • 42249096159 scopus 로고
    • A necessary and, sufficient condition for continuity of additive functions
    • J. Smital, A necessary and, sufficient condition for continuity of additive functions, Czechoslovak Math. J. 26(101) (1976), no. 2, 171-173.
    • (1976) Czechoslovak Math. J. , vol.26 , Issue.2-101 , pp. 171-173
    • Smital, J.1
  • 291
    • 34250382399 scopus 로고
    • On convex functions bounded below
    • J. Smital, On convex functions bounded below, Aequationes Math. 14(1976), no. 3, 345-350.
    • (1976) Aequationes Math. , vol.14 , Issue.3 , pp. 345-350
    • Smital, J.1
  • 292
    • 33745298523 scopus 로고
    • On a problem of Aczél and, Erdôs concerning Hamel bases
    • J. Smital, On a problem of Aczél and, Erdôs concerning Hamel bases, Aequationes Math. 28(1985), no. 1-2, 135-137.
    • (1985) Aequationes Math. , vol.28 , Issue.1-2 , pp. 135-137
    • Smital, J.1
  • 293
    • 84892236620 scopus 로고
    • Generalization of a theorem of S. Piccard
    • J. Smital and L. Snoha, Generalization of a theorem of S. Piccard, Acta Math. Univ. Comenian. 37(1980), 173-181.
    • (1980) Acta Math. Univ. Comenian. , vol.37 , pp. 173-181
    • Smital, J.1    Snoha, L.2
  • 294
    • 0002548418 scopus 로고
    • A model of set-theory in which every set of reals is Lebesgue measurable
    • R. M. Solovay, A model of set-theory in which every set of reals is Lebesgue measurable, Ann. of Math. (2) 92(1970), 1-56.
    • (1970) Ann. of Math. , vol.92 , Issue.2 , pp. 1-56
    • Solovay, R.M.1
  • 295
    • 0005834361 scopus 로고
    • Sur une définition des ensembles mesurables B sans nombres transfinis
    • M. Souslin, Sur une définition des ensembles mesurables B sans nombres transfinis, C. R. Acad. Sci. Paris 164(1917), 89.
    • (1917) C. R. Acad. Sci. Paris , vol.164 , pp. 89
    • Souslin, M.1
  • 296
    • 84892229197 scopus 로고
    • Some remarks on the paper: "A note on an inequality"
    • L. R. Stanković and I. B. Lackovic, Some remarks on the paper: "A note on an inequality", Nanta Math. 5(1971), no. 1, 38-40
    • (1971) Nanta Math. , vol.5 , Issue.1 , pp. 38-40
    • Stanković, L.R.1    Lackovic, I.B.2
  • 298
    • 0002350572 scopus 로고
    • On certain inequalities between mean values, and, their application to actuarial problems
    • J. F. Steffensen, On certain inequalities between mean values, and, their application to actuarial problems, Skand. Aktuarietidskr. (1918), 82-97.
    • (1918) Skand. Aktuarietidskr. , pp. 82-97
    • Steffensen, J.F.1
  • 299
    • 0000895761 scopus 로고
    • On certain inequalities and, methods of approximation
    • J. F. Steffensen, On certain inequalities and, methods of approximation, J. Institue Actuaries 51(1919), 274-297.
    • (1919) J. Institue Actuaries , vol.51 , pp. 274-297
    • Steffensen, J.F.1
  • 300
    • 0001874737 scopus 로고
    • Sur les distances dans les points des ensembles de mesure positive
    • H. Steinhaus, Sur les distances dans les points des ensembles de mesure positive, Fund. Math. 1(1920), 93-104.
    • (1920) Fund. Math. , vol.1 , pp. 93-104
    • Steinhaus, H.1
  • 303
    • 0042056911 scopus 로고
    • On the functional equation f (x + y - Xy) + f (xy) = f (x) + f (y)
    • H. Swiatak, On the functional equation f (x + y - xy) + f (xy) = f (x) + f (y), Mat. Vesnik 5(20) (1968), 177-182.
    • (1968) Mat. Vesnik , vol.5 , Issue.20 , pp. 177-182
    • Swiatak, H.1
  • 304
    • 34250524690 scopus 로고
    • Remarks on the functional equation f (x + y - Xy) + f (xy) = f (x) + f (y)
    • H. Swiatak, Remarks on the functional equation f (x + y - xy) + f (xy) = f (x) + f (y), Aequationes Math. 1(1968), 239-241.
    • (1968) Aequationes Math. , vol.1 , pp. 239-241
    • Swiatak, H.1
  • 305
    • 84892240408 scopus 로고
    • On the equivalence of some functional equations
    • H. Swiatak, On the equivalence of some functional equations, Publ. Techn. Univ. Miskolc 30(1970), 275-279.
    • (1970) Publ. Techn. Univ. Miskolc , vol.30 , pp. 275-279
    • Swiatak, H.1
  • 307
    • 34250457188 scopus 로고
    • A proof of the equivalence of the equation f (x+y-xy) +f (xy) = f (x) +f (y) and, Jensen's functional equation
    • H. Swiatak, A proof of the equivalence of the equation f (x+y-xy) +f (xy) = f (x) +f (y) and, Jensen's functional equation, Aequationes Math. 6(1971), 24-29.
    • (1971) Aequationes Math. , vol.6 , pp. 24-29
    • Swiatak, H.1
  • 308
    • 34250290096 scopus 로고
    • On alternative functional equations
    • H. Swiatak, On alternative functional equations, Aequationes Math. 15(1977), no. 1, 35-47.
    • (1977) Aequationes Math. , vol.15 , Issue.1 , pp. 35-47
    • Swiatak, H.1
  • 309
    • 84892349928 scopus 로고
    • Notes on functional equations of polynomial form
    • H. Swiatak and M. Hosszu, Notes on functional equations of polynomial form, Publ. Math. Debrecen 17(1970), 61-66 (1971).
    • (1970) Publ. Math. Debrecen , vol.17 , pp. 61-66
    • Swiatak, H.1    Hosszu, M.2
  • 310
    • 84892200942 scopus 로고
    • Remarks on the functional equation e (x, y) f (xy) = f (x) + f (y)
    • H. Swiatak and M. Hosszu, Remarks on the functional equation e (x, y) f (xy) = f (x) + f (y), Publ. Techn. Univ. Miskolc 30(1970), 323-325.
    • (1970) Publ. Techn. Univ. Miskolc , vol.30 , pp. 323-325
    • Swiatak, H.1    Hosszu, M.2
  • 312
    • 84892215451 scopus 로고
    • The general representation of an additive function on an open point set, (in Hungarian)
    • L. Székelyhidi, The general representation of an additive function on an open point set, (in Hungarian), Magyar Tud. Akad. Mat. Fiz. Oszt. Közl. 21(1972), 503-509.
    • (1972) Magyar Tud. Akad. Mat. Fiz. Oszt. Közl. , vol.21 , pp. 503-509
    • Székelyhidi, L.1
  • 313
    • 12844280120 scopus 로고
    • Remark on a paper of M. A. McKieman: "On vanishing nth-ordered differences and Hamel bases"
    • L. Székelyhidi, Remark on a paper of M. A. McKieman: "On vanishing nth-ordered differences and Hamel bases", Ann. Polon. Math. 36(1979), no. 3, 245-247.
    • (1979) Ann. Polon. Math. , vol.36 , Issue.3 , pp. 245-247
    • Székelyhidi, L.1
  • 315
    • 33749435795 scopus 로고
    • Solution of Cauchy's functional equation on a restricted domain
    • K. Szymiczek, Solution of Cauchy's functional equation on a restricted domain, Colloq. Math. 33(1975), no. 2, 203-208.
    • (1975) Colloq. Math. , vol.33 , Issue.2 , pp. 203-208
    • Szymiczek, K.1
  • 317
    • 84865488874 scopus 로고
    • Axiomatic and, algebraic aspects of two theorems on sums of cardinals
    • A. Tarski, Axiomatic and, algebraic aspects of two theorems on sums of cardinals, Fund. Math. 35(1948), 79-104.
    • (1948) Fund. Math. , vol.35 , pp. 79-104
    • Tarski, A.1
  • 318
    • 0002534853 scopus 로고
    • Théorème de Gauss relatif au centre de gravité et son application (in Serbian)
    • M. Tomić, Théorème de Gauss relatif au centre de gravité et son application (in Serbian), Bull. Soc. Math. Phys. Serbie 1(1949), 31-40.
    • (1949) Bull. Soc. Math. Phys. Serbie , vol.1 , pp. 31-40
    • Tomić, M.1
  • 320
    • 84892351651 scopus 로고
    • The definition of quasi-convex functions (in Russian), Mathematical Programming (Russian)
    • Moscow
    • B. A. Vertgeǐm and G. S. Rubinstein, The definition of quasi-convex functions (in Russian), Mathematical Programming (Russian), Izdat. "Nauka", Moscow, 1966, pp. 121-134.
    • (1966) Izdat. "Nauka" , pp. 121-134
    • Vertgeǐm, B.A.1    Rubinstein, G.S.2
  • 321
    • 34250548746 scopus 로고
    • Beitrag zur Theorie der Cauchyschen Funktionalgleichungen
    • E. Vincze, Beitrag zur Theorie der Cauchyschen Funktionalgleichungen, Arch. Math. 15(1964), 132-135.
    • (1964) Arch. Math. , vol.15 , pp. 132-135
    • Vincze, E.1
  • 322
    • 84931100309 scopus 로고
    • Solutions of alternative functional equations (in Hungarian)
    • E. Vincze, Solutions of alternative functional equations (in Hungarian), Mat. Lapok 15(1964), 179-195.
    • (1964) Mat. Lapok , vol.15 , pp. 179-195
    • Vincze, E.1
  • 323
    • 84892313251 scopus 로고
    • Uber eine Verallgemeinerung der Cauchyschen Funktionalgleichung
    • E. Vincze, Uber eine Verallgemeinerung der Cauchyschen Funktionalgleichung, Funkcial. Ekvac 6(1964), 55-62.
    • (1964) Funkcial. Ekvac , vol.6 , pp. 55-62
    • Vincze, E.1
  • 324
    • 84892248554 scopus 로고
    • Uber eine Klasse der alternativen Funktionalgleichungen
    • E. Vincze, Uber eine Klasse der alternativen Funktionalgleichungen, Aequationes Math. 2(1969), 364-365.
    • (1969) Aequationes Math. , vol.2 , pp. 364-365
    • Vincze, E.1
  • 325
    • 4243235700 scopus 로고
    • On the functional inequality f (x + y) >f (x) f (y)
    • J. E. Wetzel, On the functional inequality f (x + y) >f (x) f (y), Amer. Math. Monthly 74(1967), 1065-1068.
    • (1967) Amer. Math. Monthly , vol.74 , pp. 1065-1068
    • Wetzel, J.E.1
  • 326
    • 0002660127 scopus 로고
    • On functions with bounded nth differences
    • H. Whitney, On functions with bounded nth differences, J. Math. Pures Appl. (9) 36(1957), 67-95.
    • (1957) J. Math. Pures Appl. , vol.36 , Issue.9 , pp. 67-95
    • Whitney, H.1
  • 327
    • 84968464984 scopus 로고
    • On bounded functions with bounded nth differences
    • H. Whitney, On bounded functions with bounded nth differences, Proc. Amer. Math. Soc. 10(1959), 480-481.
    • (1959) Proc. Amer. Math. Soc. , vol.10 , pp. 480-481
    • Whitney, H.1
  • 328
    • 0003868126 scopus 로고
    • With the cooperation of I. S. Cohen, The University Series in Higher Mathematics, D. Van Nostrand Company, Inc., Princeton, New Jersey
    • O. Zariski and P. Samuel, Commutative algebra, Volume I, With the cooperation of I. S. Cohen, The University Series in Higher Mathematics, D. Van Nostrand Company, Inc., Princeton, New Jersey, 1958.
    • (1958) Commutative Algebra , vol.1
    • Zariski, O.1    Samuel, P.2
  • 329
    • 0001104619 scopus 로고
    • Beweis, daß jede Menge wohlgeordnet werden kann
    • E. Zermelo, Beweis, daß jede Menge wohlgeordnet werden kann, Math. Ann. 59(1904), no. 4, 514-516.
    • (1904) Math. Ann. , vol.59 , Issue.4 , pp. 514-516
    • Zermelo, E.1
  • 330
    • 0010946210 scopus 로고
    • A remark on method in transfinite algebra
    • M. Zorn, A remark on method in transfinite algebra, Bull. Amer. Math. Soc. 41(1935), 667-670.
    • (1935) Bull. Amer. Math. Soc. , vol.41 , pp. 667-670
    • Zorn, M.1
  • 331
    • 84953751498 scopus 로고    scopus 로고
    • third ed., With a foreword by Robert A. Fefferman, Cambridge Mathematical Library, Cambridge University Press, Cambridge
    • A. Zygmund, Trigonometric series. Vol. I, II, third ed., With a foreword by Robert A. Fefferman, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 2002.
    • (2002) Trigonometric Series , vol.1-2
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.