Schur convexity and Schur multiplicative convexity for a class of symmetric functions with applications

Authors

  • Xia Wei-feng

Abstract

For x=(x1,x2,,xn)(0,1]n and r{1,2,,n}, a symmetric function Fn(x,r) is defined by the relation Fn(x,r)=Fn(x1,x2,,xn;r)=1i1<i2irnrj=11xijxij, where i1,i2,...,in are positive integers. This paper deals with the Schur convexity and Schur multiplicative convexity of Fn(x,r). As applications, some inequalities are established by using the theory of majorization.

Published

25.10.2009

Issue

Section

Research articles

How to Cite

Wei-feng, Xia. “Schur Convexity and Schur Multiplicative Convexity for a Class of Symmetric Functions With Applications”. Ukrains’kyi Matematychnyi Zhurnal, vol. 61, no. 10, Oct. 2009, pp. 1306-18, https://umj.imath.kiev.ua/index.php/umj/article/view/3102.