J. Korean Math. Soc. 2023; 60(3): 503-520
Online first article April 24, 2023 Printed May 1, 2023
https://doi.org/10.4134/JKMS.j220039
Copyright © The Korean Mathematical Society.
Chun-Ru Fu , Huan-Nan Shi, Dong-Sheng Wang
Beijing Union University; Beijing Union University; Beijing Polytechnic
In this paper, using the theory of majorization, we discuss the Schur $m$ power convexity for $L$-conjugate means of $n$ variables and the Schur convexity for weighted $L$-conjugate means of $n$ variables. As applications, we get several inequalities of general mean satisfying Schur convexity, and a few comparative inequalities about $n$ variables Gini mean are established.
Keywords: $L$-conjugate means, weighted $L$-conjugate means, Schur convexity, Schur $m$ power convexty, majorization
MSC numbers: Primary 26E60, 26D15, 26B25
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