J. Korean Math. Soc. 60 (2023), No. 3, pp. 503–520

https://doi.org/10.4134/JKMS.j220039

SCHUR CONVEXITY OF L-CONJUGATE MEANS AND ITS APPLICATIONS

Chun-Ru Fu, Huan-Nan Shi, and Dong-Sheng Wang

Abstract. 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.

2020 Mathematics Subject Classification. Primary 26E60, 26D15, 26B25.

Key words and phrases. L-conjugate means, weighted L-conjugate means, Schur convexity,

Schur m power convexty, majorization.

Schur convexity of $L$-conjugate means and its applications.pdf