메뉴 건너뛰기




Volumn 2003, Issue 16, 2003, Pages 981-993

On certain means of two arguments and their extensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 1342276621     PISSN: 01611712     EISSN: None     Source Type: Journal    
DOI: 10.1155/S0161171203208103     Document Type: Article
Times cited : (55)

References (26)
  • 1
    • 17844405961 scopus 로고
    • Aufgabe 987
    • German
    • H. Alzer, Aufgabe 987, Elern. Math. 43 (1988), 93 (German).
    • (1988) Elern. Math. , vol.43 , pp. 93
    • Alzer, H.1
  • 2
    • 17844406470 scopus 로고
    • An inequality of the AGM and the logarithmic mean
    • B. C. Carlson and M. Vuorinen, An inequality of the AGM and the logarithmic mean, SIAM Rev. 33 (1991), 655.
    • (1991) SIAM Rev. , vol.33 , pp. 655
    • Carlson, B.C.1    Vuorinen, M.2
  • 3
    • 0002125120 scopus 로고
    • Di una formula comprensiva delle medie
    • (Italian). Zentralblatt für Mathematik
    • C. Gini, Di una formula comprensiva delle medie, Matron 13 (1938), 3-22 (Italian). Zentralblatt für Mathematik.
    • (1938) Matron , vol.13 , pp. 3-22
    • Gini, C.1
  • 4
    • 0002188317 scopus 로고
    • Extended mean values
    • MathSciNet. Zentralblatt für Mathematik
    • E. B. Leach and M. C. Sholander, Extended mean values, Amer. Math. Monthly 85 (1978), no. 2, 84-90. MathSciNet. Zentralblatt für Mathematik.
    • (1978) Amer. Math. Monthly , vol.85 , Issue.2 , pp. 84-90
    • Leach, E.B.1    Sholander, M.C.2
  • 5
    • 0001416372 scopus 로고
    • Multivariable extended mean values
    • MathSciNet. Zentralblatt für Mathematik
    • E. B. Leach and M. C. Sholander, Multivariable extended mean values, J. Math. Anal. Appl. 104 (1984), no. 2, 390-407. MathSciNet. Zentralblatt für Mathematik.
    • (1984) J. Math. Anal. Appl. , vol.104 , Issue.2 , pp. 390-407
    • Leach, E.B.1    Sholander, M.C.2
  • 6
    • 0001280842 scopus 로고
    • The power mean and the logarithmic mean
    • MathSciNet. Zentralblatt für Mathematik
    • T.-P. Lin, The power mean and the logarithmic mean, Amer. Math. Monthly 81 (1974), 879-883. MathSciNet. Zentralblatt für Mathematik.
    • (1974) Amer. Math. Monthly , vol.81 , pp. 879-883
    • Lin, T.-P.1
  • 7
    • 85006319074 scopus 로고    scopus 로고
    • Inequalities involving Stolarsky and Gini means
    • to appear in
    • E. Neuman and J. Sándor, Inequalities involving Stolarsky and Gini means, to appear in Math. Pannon.
    • Math. Pannon.
    • Neuman, E.1    Sándor, J.2
  • 9
    • 0001122213 scopus 로고
    • Inequalities for differences of powers
    • MathSciNet. Zentralblatt für Mathematik
    • Z. Páles, Inequalities for differences of powers, J. Math. Anal. Appl. 131 (1988), no. 1, 271-281. MathSciNet. Zentralblatt für Mathematik.
    • (1988) J. Math. Anal. Appl. , vol.131 , Issue.1 , pp. 271-281
    • Páles, Z.1
  • 10
    • 0010202513 scopus 로고
    • Inequalities for sums of powers
    • MathSciNet. Zentralblatt für Mathematik
    • Z. Páles, Inequalities for sums of powers, J. Math. Anal. Appl. 131 (1988), no. 1, 265-270. MathSciNet. Zentralblatt für Mathematik.
    • (1988) J. Math. Anal. Appl. , vol.131 , Issue.1 , pp. 265-270
    • Páles, Z.1
  • 11
    • 0010939026 scopus 로고
    • Inequalities between arithmetic and logarithmic means
    • MathSciNet. Zentralblatt für Mathematik
    • A. O. Pittenger, Inequalities between arithmetic and logarithmic means, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. (1980), no. 678-715, 15-18. MathSciNet. Zentralblatt für Mathematik.
    • (1980) Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. , vol.678 , pp. 15-18
    • Pittenger, A.O.1
  • 12
    • 0035994067 scopus 로고    scopus 로고
    • Logarithmic convexity of extended mean values
    • F. Qi, Logarithmic convexity of extended mean values, Proc. Amer. Math. Soc. 130 (2002), no. 6, 1787-1796, RGMIA Research Report Collection 2 (1999), no. 5, Article 5, 643-652. MathSciNet. Zentralblatt für Mathematik.
    • (2002) Proc. Amer. Math. Soc. , vol.130 , Issue.6 , pp. 1787-1796
    • Qi, F.1
  • 13
    • 0035994067 scopus 로고    scopus 로고
    • Article 5, MathSciNet. Zentralblatt für Mathematik
    • F. Qi, Logarithmic convexity of extended mean values, Proc. Amer. Math. Soc. 130 (2002), no. 6, 1787-1796, RGMIA Research Report Collection 2 (1999), no. 5, Article 5, 643-652. MathSciNet. Zentralblatt für Mathematik.
    • (1999) RGMIA Research Report Collection , vol.2 , Issue.5 , pp. 643-652
  • 14
    • 0000690607 scopus 로고
    • A note on some inequalities for means
    • MathSciNet. Zentralblatt für Mathematik
    • J. Sándor, A note on some inequalities for means, Arch. Math. (Basel) 56 (1991), no. 5, 471-473. MathSciNet. Zentralblatt für Mathematik.
    • (1991) Arch. Math. (Basel) , vol.56 , Issue.5 , pp. 471-473
    • Sándor, J.1
  • 15
    • 0001275093 scopus 로고
    • On certain inequalities for means
    • CrossRef. MathSciNet. Zentralblatt für Mathematik
    • J. Sándor, On certain inequalities for means, J. Math. Anal. Appl. 189 (1995), no. 2, 602-606. CrossRef. MathSciNet. Zentralblatt für Mathematik.
    • (1995) J. Math. Anal. Appl. , vol.189 , Issue.2 , pp. 602-606
    • Sándor, J.1
  • 16
    • 0001625661 scopus 로고    scopus 로고
    • On certain inequalities for means. II
    • CrossRef. MathSciNet. Zentralblatt für Mathematik
    • J. Sándor, On certain inequalities for means. II, J. Math. Anal. Appl. 199 (1996), no. 2, 629-635. CrossRef. MathSciNet. Zentralblatt für Mathematik.
    • (1996) J. Math. Anal. Appl. , vol.199 , Issue.2 , pp. 629-635
    • Sándor, J.1
  • 17
    • 17844379310 scopus 로고    scopus 로고
    • On certain subhomogeneous means
    • J. Sándor, On certain subhomogeneous means, Octogon Math. Mag. 8 (2000), 156-160.
    • (2000) Octogon Math. Mag. , vol.8 , pp. 156-160
    • Sándor, J.1
  • 18
    • 0035530671 scopus 로고    scopus 로고
    • On certain inequalities for means. Ill
    • CrossRef. MathSciNet. Zentralblatt für Mathematik
    • J. Sándor, On certain inequalities for means. Ill, Arch. Math. (Basel) 76 (2001), no. 1, 34-40. CrossRef. MathSciNet. Zentralblatt für Mathematik.
    • (2001) Arch. Math. (Basel) , vol.76 , Issue.1 , pp. 34-40
    • Sándor, J.1
  • 19
    • 4243369125 scopus 로고    scopus 로고
    • Inequalities for certain means in two arguments
    • MathSciNet. Zentralblatt für Mathematik
    • J. Sándor and I. Rasa, Inequalities for certain means in two arguments, Nieuw Arch. Wisk. (4) 15 (1997), no. 1-2, 51-55. MathSciNet. Zentralblatt für Mathematik.
    • (1997) Nieuw Arch. Wisk. (4) , vol.15 , Issue.1-2 , pp. 51-55
    • Sándor, J.1    Rasa, I.2
  • 20
    • 4243369126 scopus 로고    scopus 로고
    • Some new inequalities for means of two arguments
    • CrossRef. MathSciNet
    • J. Sándor and T. Trif, Some new inequalities for means of two arguments, Int. J. Math. Math. Sci. 25 (2001), no. 8, 525-532. CrossRef. MathSciNet.
    • (2001) Int. J. Math. Math. Sci. , vol.25 , Issue.8 , pp. 525-532
    • Sándor, J.1    Trif, T.2
  • 22
    • 0000861963 scopus 로고
    • Inequalities for a certain mean value
    • (German). MathSciNet. Zentralblatt für Mathematik
    • H.-J. Seiffert, Ungleichungen für einen bestimmten Mittelwert [Inequalities for a certain mean value], Nieuw Arch. Wisk. (4) 13 (1995), no. 2, 195-198 (German). MathSciNet. Zentralblatt für Mathematik.
    • (1995) Nieuw Arch. Wisk. (4) , vol.13 , Issue.2 , pp. 195-198
    • Seiffert, H.-J.1
  • 23
    • 0038768565 scopus 로고
    • Inequalities for elementary means
    • (German). MathSciNet. Zentralblatt für Mathematik
    • H.-J. Seiffert, Ungleichungen für elementare Mittelwerte [Inequalities for elementary means], Arch. Math. (Basel) 64 (1995), no. 2, 129-131 (German). MathSciNet. Zentralblatt für Mathematik.
    • (1995) Arch. Math. (Basel) , vol.64 , Issue.2 , pp. 129-131
    • Seiffert, H.-J.1
  • 24
    • 0002603040 scopus 로고
    • Generalizations of the logarithmic mean
    • MathSciNet. Zentralblatt für Mathematik
    • K. B. Stolarsky, Generalizations of the logarithmic mean, Math. Mag. 48 (1975), 87-92. MathSciNet. Zentralblatt für Mathematik.
    • (1975) Math. Mag. , vol.48 , pp. 87-92
    • Stolarsky, K.B.1
  • 25
    • 0000016560 scopus 로고
    • The power and generalized logarithmic means
    • MathSciNet. Zentralblatt für Mathematik
    • K. B. Stolarsky, The power and generalized logarithmic means, Amer. Math. Monthly 87 (1980), no. 7, 545-548. MathSciNet. Zentralblatt für Mathematik.
    • (1980) Amer. Math. Monthly , vol.87 , Issue.7 , pp. 545-548
    • Stolarsky, K.B.1
  • 26
    • 0000786870 scopus 로고
    • Inequalities for means
    • CrossRef. MathSciNet. Zentralblatt für Mathematik
    • M. K. Vamanamurthy and M. Vuorinen, Inequalities for means, J. Math. Anal. Appl. 183 (1994), no. 1, 155-166. CrossRef. MathSciNet. Zentralblatt für Mathematik.
    • (1994) J. Math. Anal. Appl. , vol.183 , Issue.1 , pp. 155-166
    • Vamanamurthy, M.K.1    Vuorinen, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.