Necessary and sufficient conditions on the Schur convexity of a bivariate mean

In the paper, the authors find and apply necessary and sufficient conditions for a bivariate mean of two positive numbers with three parameters to be Schur convex or Schur harmonically convex respectively.

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 1; pp. 296 - 303
Main Authors Yin, Hong-Ping, Liu, Xi-Min, Wang, Jing-Yu, Guo, Bai-Ni
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
bivariate mean
inequality
majorization
necessary and sufficient condition
schur convex function
schur harmonically convex function
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Summary:In the paper, the authors find and apply necessary and sufficient conditions for a bivariate mean of two positive numbers with three parameters to be Schur convex or Schur harmonically convex respectively.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021018