Inequalities on several quasi-arithmetic means

Authors

  • Shuoh-Jung Liu Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li 32023, Taiwan, Republic of China.
  • Gou-Sheng Yang Department ofMathematics Tamkang University, Tamsui 25137, Taiwan, Republic of China.
  • Yi-Jhe Chen Department ofMathematics Tamkang University, Tamsui 25137, Taiwan, Republic of China.

DOI:

https://doi.org/10.5556/j.tkjm.43.2012.841

Keywords:

convex functions, concave functions, means, strictly increasing functions, strictly decreasing functions.

Abstract

Inequalities on several quasi-arithmetic means are established by using convexity and concavity.

References

S. Abramovich, J. Pevcaric and S. Varovsance, Comparison Theorems between several quasi-arithmetic means, Math. Ineq. Appl., 7(2004), 1--6.

E. F. Beckenbach, R. Bellman, Inequalities, Spring-Verlag, Berlin-Newyork, 1961.

Y. H. Kim, Refinements and Extensions of an Inequality, J. Math. Anal. Appl., 245(2000), 628--632.

D. S. Mitrinovic, J. E. Pevcaric and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic, Dordrecht/Boston/London, 1993.

Downloads

Published

2012-06-20

How to Cite

Liu, S.-J., Yang, G.-S., & Chen, Y.-J. (2012). Inequalities on several quasi-arithmetic means. Tamkang Journal of Mathematics, 43(2), 259-266. https://doi.org/10.5556/j.tkjm.43.2012.841

Issue

Section

Papers

Most read articles by the same author(s)

1 2 3 > >>