Schur <i>m</i>-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means-Reference-Cited by-同舟云学术

Schur m-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means

Published:2023-02-01 Issue:1 Volume:73 Page:3-14
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Wu Yi-Ting¹,Qi Feng²³

Affiliation:

1. Department of Mathematics China Jiliang University Hangzhou 310018 Zhejiang China

2. Institute of Mathematics Henan Polytechnic University Jiaozuo 454010 , Henan China

3. Independent researcher Dallas , TX 75252-8024 Texas USA

Abstract

Abstract In the paper, the authors present the Schur m-power convexity and concavity for the general geometric Bonferroni mean of multiple parameters and establish comparison inequalities for bounding the general geometric Bonferroni mean in terms of the arithmetic, geometric, and harmonic means. These Schur convexity and concavity provide a unified generalization of the Schur convexity and concavity for the geometric Bonferroni means of two or three parameters.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2023-0002/pdf

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