J. Inequal. Math. Anal., 1(3), 2025, 146–157. doi: 10.63286/jima.034

A summarize of research on Schur convexity related to Hadamard integral inequality

Huan-nan Shi

Abstract

In 2000, Croatian mathematicians Elezovic and Pecaric considered the Schur convexity of the integral mean of convex functions with the upper and lower limits of the integral, and obtained an important groundbreaking result. Taking this as a guide, many scholars at home and abroad subsequently carried out a series of promotion and extension work. This report provides a summary of this in order to promote the in-depth study of integral inequalities in majorization theory.

Keywords: integral mean of convex functions, Schur convexity, majorization, summarize

2020 MSC: First MSC, 26E60 Second MSC 26A51, 26D15, 26D20.

A summarize of research on Schur convexity related to Hadamard integral inequality..pdf