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Some inequalities for bivariate means

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In the paper, some new inequalities for certain bivariate means are obtained, which extend some known results.

Abstract

In the paper, some new inequalities for certain bivariate means are obtained, which extend some known results.

참고문헌 (15)

  1. H. L. Alzer, "Inequalities for means in two variables", Arch. Math. (Basel), 80, pp.201~ (2003)
  2. P. S. Bullen, "Handbook of Means and Their Inequalities" (2003), Kluwer Acad. Publ.
  3. Y. H. Kim, "Properties of some mean values and functional equations", Pan American Math. J., 12(1), pp.65~79 (2002)
  4. D. S. Mitrinović, "Analytic Inequalities" (1970), Springer-Verlag
  5. E. Neuman, "Inequalities involving Stolarsky and Gini means", Math. Pannon., 14(1), pp.29~44 (2003)
  6. E. Neuman, "On certain means of two arguments and their extensions", Int. J. Math. Math. Sci., (16), pp.981~993 (2003)
  7. E. Neuman, "Companion inequalities for certain bivariate means", Appl. Anal. Discrete Math., 3(1), pp.46~51 (2009)
  8. J. Sándor, "On the identric and logarithmic means", Aequationes Math., 40, pp.261~270 (1990)
  9. J. Sándor, "A note on some inequalities for means", Arch. Math. (Basel), 56, pp.471~473 (1991)
  10. J. Sándor, "On certain inequalities for means", J. Math. Anal. Appl., 189, pp.602~606 (1995)
  11. J. Sándor, "On certain inequalities for means III", Arch. Math. (Basel), 76, pp.34~40 (2001)
  12. J. Sándor, "Inequalities for certain means in two arguments", Nieuw Arch. Wisk., 15, pp.51~55 (1997)
  13. J. Sándor, "Some new inequalities for means of two arguments", Int. J. Math. Math. Sci., 25(8), pp.525~532 (2001)
  14. K. B. Stolarsky, "The power and generalied logarithmic means", Amer. Math. Monthly, 87, pp.545~548 (1980)
  15. G. Toader, "New properties of some mean values", J. Math. Anal. Appl., 232(2), pp.376~383 (1999)

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