Schur convexity and Schur multiplicative convexity for a class of symmetric functions with applications
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)=∑1⩽i1<i2…ir⩽n∏rj=11−xijxij, 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.