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Volumn 95, Issue 2, 2003, Pages 217-230

Affine and convex functions with respect to the logarithmic mean

Author keywords

Functional equation; L affine function; L convex function; Logarithmic mean; Mean; Quasi logarithmic mean

Indexed keywords


EID: 78549255980     PISSN: 00101354     EISSN: 17306302     Source Type: Journal    
DOI: 10.4064/cm95-2-6     Document Type: Article
Times cited : (7)

References (15)
  • 1
    • 0003226050 scopus 로고
    • Functional Equations in Several Variables
    • Cambridge Univ. Press, Cambridge
    • J. Aczél and J. Dhombres, Functional Equations in Several Variables, Encyclopedia Math. Appl. 31, Cambridge Univ. Press, Cambridge, 1989.
    • (1989) Encyclopedia Math. Appl , vol.31
    • Aczél, J.1    Dhombres, J.2
  • 3
    • 33748002795 scopus 로고
    • Über eine Funktionalgleichung aus der Wärmeleitung
    • M. Hossú, Eine Bemerkung zur Mitteilung von H. Wundt: “Über eine Funktionalgleichung aus der Wärmeleitung", Z. Angew. Math. Phys. 6 (1955), 143-144.
    • (1955) Z. Angew. Math. Phys. , vol.6 , pp. 143-144
    • Hossú, M.1    Wundt, E.B.2
  • 4
    • 21344466177 scopus 로고    scopus 로고
    • Functional equations involving logarithmic mean
    • P. Kahlig and J. Matkowski, Functional equations involving logarithmic mean, Z. Agnew. Math. Mech. 78 (1996), 385-390.
    • (1996) Z. Agnew. Math. Mech , vol.78 , pp. 385-390
    • Kahlig, P.1    Matkowski, J.2
  • 7
    • 84966213932 scopus 로고
    • Subadditive functions and a relaxation of the homogeneity condition of seminorms
    • J. Matkowski, Subadditive functions and a relaxation of the homogeneity condition of seminorms, Proc. Amer. Math. Soc. 117 (1993), 991-1001.
    • (1993) Proc. Amer. Math. Soc , vol.117 , pp. 991-1001
    • Matkowski, J.1
  • 8
    • 60349119152 scopus 로고
    • The converse of the Hölder inequality and its generalizations
    • J. Matkowski, The converse of the Hölder inequality and its generalizations, Studia Math. 109 (1994), 171-182.
    • (1994) Studia Math , vol.109 , pp. 171-182
    • Matkowski, J.1
  • 9
    • 0345736511 scopus 로고    scopus 로고
    • Continuous solutions of a functional equation
    • J. Matkowski, Continuous solutions of a functional equation, Publ. Math. Debrecen 52 (1998), 559-562.
    • (1998) Publ. Math. Debrecen , vol.52 , pp. 559-562
    • Matkowski, J.1
  • 10
    • 85021063249 scopus 로고
    • On the equality condition in Hölder's and Minkowski's inequalities
    • J. Matkowski and J. Rätz, On the equality condition in Hölder's and Minkowski's inequalities, Aequationes Math. 46 (1993), 220-227.
    • (1993) Aequationes Math , vol.46 , pp. 220-227
    • Matkowski, J.1    Rätz, J.2
  • 11
    • 0347409076 scopus 로고    scopus 로고
    • Convex functions with respect to an arbitrary mean, in: Internat
    • 123, Birkhäuser
    • J. Matkowski and J. Rätz, Convex functions with respect to an arbitrary mean, in: Internat. Ser. Numer. Math. 123, Birkhäuser, 1997, 249-259.
    • (1997) Ser. Numer. Math , pp. 249-259
    • Matkowski, J.1    Rätz, J.2
  • 12
    • 0242380408 scopus 로고    scopus 로고
    • Convexity of power functions with respect to symmetric homogeneous means
    • J. Matkowski and J. Rätz, Convexity of power functions with respect to symmetric homogeneous means, Ser. Numer. Math. 231-247.
    • Ser. Numer. Math , pp. 231-247
    • Matkowski, J.1    Rätz, J.2
  • 13
    • 0001314068 scopus 로고
    • The weighted logarithmic mean
    • E. Neuman, The weighted logarithmic mean, J. Math. Anal. Appl. 188 (1994), 885-900.
    • (1994) J. Math. Anal. Appl , vol.188 , pp. 885-900
    • Neuman, E.1
  • 15
    • 26744446187 scopus 로고    scopus 로고
    • Monotonicity and convexity properties of means
    • J. Sandor, Monotonicity and convexity properties of means, Octogon Math. Mag. 7 (1999), no. 2, 22-27.
    • (1999) Octogon Math. Mag , vol.7 , Issue.2 , pp. 22-27
    • Sandor, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.