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

被引：3

作者：

Wu, Yi-Ting ^{[1
]}

Qi, Feng ^{[2
]}

机构：

[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

[2] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China

来源：

MATHEMATICA SLOVACA | 2023年 / 73卷 / 01期

关键词：

General geometric Bonferroni mean; inequality; majorization; Schur convexity; Schur m-power convexity;

D O I：

10.1515/ms-2023-0002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：3 / 14

页数：12

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