Schur-power convexity of integral mean for convex functions on the coordinates-Reference-Cited by-同舟云学术

Schur-power convexity of integral mean for convex functions on the coordinates

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Shi Huannan¹,Zhang Jing²

Affiliation:

1. Department of Electronic information, Teacher’s College, Beijing Union University , Beijing 100011 , P. R. China

2. Institute of Fundamental and Interdisciplinary Sciences, Beijing Union University , Beijing 100101 , P. R. China

Abstract

Abstract In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore, we introduce novel and fascinating inequalities for binary means as a practical application.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0157/pdf

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