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ON CERTAIN IDENTITIES FOR MEANS, III

J. Sandor|E. Egri|R. Olah-Gal
장전수학회 (Jangjeon Mathematical Society)|2009.07|Advanced Studies in Contemporary Mathematics|제19권 제1호|pp. 109-122

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참고문헌

키워드

Taylor expansionmeans and their identities and inequalities
주제분류수학

초록

We offer certain in¯nite series representations of general integral means. As applications, we can reobtain in an unitary way, many known or new identities for special means, thus continuing and complementing results from parts I and II (see [9], [12]). As corollaries, many inequalities involving means are pointed out.

Abstract

We offer certain in¯nite series representations of general integral means. As applications, we can reobtain in an unitary way, many known or new identities for special means, thus continuing and complementing results from parts I and II (see [9], [12]). As corollaries, many inequalities involving means are pointed out.

참고문헌 (20)

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  3. E. Neuman, "On the Ky Fan inequality and related inequalities II", Bull. Austral. Math. Sci., 72, pp.87~107 (2005)
  4. E. Neuman, "Companion inequalities for means of two arguments, Appl. Anal. Discr. Math. (to appear)", ~
  5. K. M. Nagaraja, "A simple proof strengthening and extension of inequalities", Advanced Studies in Contemporary Mathematics, 17(1), pp.97~103 (2008), 장전수학회
  6. J. Rooin, "Some new inequalities between important means and applications to Ky Fan-type inequalities", Math. Ineq. Appl., 10(3), pp.517~527 (2007)
  7. J. Sandor, "On the identric and logarithmic means", Aequationes Math., 40, pp.261~270 (1990)
  8. J. Sandor, "On some exponential means", Seminar on Math. Analysis, pp.35~40 (1990)
  9. J. Sandor, "On certain identities for means", Studia Univ. Babes-Bolyai Math., 38, pp.7~14 (1993)
  10. J. Sandor, "Inequalities for certain means in two arguments", Nieuw Arch. Wiskunde, 15, pp.51~55 (1997)
  11. J. Sandor, "Some new inequalities for means of two arguments", Int. J. Math. Math. Sci., 25(8), pp.525~532 (2001)
  12. J. Sandor, "On certain identities for means (Chinese)", J. Chengdu Univ., 20(2), pp.6~8 (2001)
  13. J. Sandor, "On certain inequalities for means III", Arch. Math. (Basel), 76, pp.34~40 (2001)
  14. J. Sandor, "On certain new means and their Ky Fan type inequalities", Southeast Asian Bull. Math., 30, pp.99~106 (2006)
  15. J. Sandor, "On some exponential means II", Int. J. Math. Math. Sci., 2006, pp.1~9
  16. H.-J. Seiffert, "Ungleichungen fur einen bestimmeten Mittelwert", Nieuw Arch. Wiskunde, 13, pp.195~198 (1995)
  17. H.-J. Seiffert, "Comment to problem 1365", Math. Mag., 65, pp.365~ (1992)
  18. G. Polya, "Isoperimetric inequalities in mathematical physics" (1951), Princeton
  19. Gh. Toader, "An exponential mean, Seminar on Math. Analysis, Babes-Bolyai Univ. Preprint", 51~54 (1988)
  20. Some identities for means and applications, "Z.-H. Yang", ~ (2005)

관련 논문AI추천

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