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

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.

Keywords

• inequality
• Schur-convex function
• Hadamard’s inequality
• convex functions of two variables
• mean