Affiliation:
1. School of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan 414006, China
Abstract
We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, in particular, and we give some new geometric inequalities in the n-dimensional space.
Funder
Higher Educational Institutions of Hunan Province