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

  • Yi-Ting Wu and Feng Qi EMAIL logo
Published/Copyright: February 15, 2023
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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.

MSC 2010: 05-02; 26-02; 26B25; 26D15; 26D20; 26E60

Dedicated to the memory of Professor Sen-Lin Xu who passed away on October 2, 2022, aged 82

This work was supported by the Natural Science Foundation of Zhejiang Province under Grant Number LY21A010016.


Acknowledgement

The authors are thankful anonymous referees for their careful corrections to and valuable comments on the original version of this paper.

  1. (Communicated by Tomasz Natkaniec)

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Received: 2021-09-10
Accepted: 2021-11-29
Published Online: 2023-02-15
Published in Print: 2023-02-23

© 2023 Mathematical Institute Slovak Academy of Sciences

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