Schur-Convexity of the Mean of Convex Functions for Two Variables

Author:

Shi Huan-Nan,Wang Dong-ShengORCID,Fu Chun-Ru

Abstract

The results of Schur convexity established by Elezovic and Pecaric for the average of convex functions are generalized relative to the case of the means for two-variable convex functions. As an application, some binary mean inequalities are given.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference19 articles.

1. A note on schur-convex fuctions;Elezovic;Rocky Mt. J. Math.,2000

2. Schur-convex functions relate to Hadamard-type inequalities;Shi;J. Math. Inequal.,2007

3. Schur-convexity of averages of convex functions;Ghulam;J. Inequal. Appl.,2011

4. Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional;Long;Rev. Anal. Numr. Thor. Approx.,2013

5. Schur-geometric and Schur harmonic convexity of an integral mean for convex functions;Sun;Turk. J. Anal. Number Theory,2015

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