THE SCHUR HARMONIC CONVEXITY FOR A CLASS OF SYMMETRIC FUNCTIONS

被引：1
作者：
褚玉明 [1 ]
孙天川 [1 ]
机构：
[1] Department of Mathematics,Huzhou Teachers College
来源：
ActaMathematicaScientia | 2010年 / 30卷 / 05期
关键词：
symmetric function; Schur convex; Schur harmonic convex;
D O I：
暂无
中图分类号：
O174.13 [凸函数、凸集理论];
学科分类号：
070104 ;
摘要：
In this article,we prove that the symmetric function F~*(x,r)=i+i2+i=r(xx... x1/r is Schur harmonic convex for x∈R~nand r∈N={1,2,3,...}.As its applications,some analytic inequalities are established.
引用
收藏
页码：1501 / 1506
页数：6
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