Volume no :66, Issue no: 1, May (2021)

Journal of Mathematical Sciences: Advances and Applications

SCHUR-CONVEXITY OF A CLASS OF ELEMENTARY SYMMETRIC COMPOSITE FUNCTIONS

Author's: Huan-Nan Shi, Tao Zhang and Bo-Yan Xi
Pages: [1] - [19]
Received Date: April 5, 2021
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122195

Abstract

In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity on and Schur-harmonic convexity on for a composite function of the elementary symmetric functions.

Keywords

Schur-convesxity, Schur-geometric convexity, Schur-harmonic convexity, elementary symmetric function.