三参数的二元均值是Schur $m$-幂凸的充分必要条件

Pub Date : 2022-07-30 DOI:10.47443/cm.2022.023
Hong-Ping Yin, Ximin Liu, Huan-Nan Shi, Feng Qi (祁锋)
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摘要

本文利用多数化理论的方法,给出了三参数的二元均值为Schur m幂凸或Schur m幂凹的充分必要条件。2020数学学科26E60, 26A51。
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Necessary and Sufficient Conditions for a Bivariate Mean of Three Parameters to Be the Schur $m$-Power Convex
In this paper, the authors find necessary and sufficient conditions for a bivariate mean of three parameters to be the Schur m -power convex or the Schur m -power concave, by using techniques of the majorization theory. 2020 Mathematics Subject 26E60, 26A51.
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