THE SCHUR HARMONIC CONVEXITY FOR A CLASS OF SYMMETRIC FUNCTIONS

被引：1
作者：
褚玉明
孙天川
机构：
[1] DepartmentofMathematics,HuzhouTeachersCollege
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_n*（x,r）=i1+i_ 2++i_n =r(x1i1x2i2... x_ni~n1/r is Schur harmonic convex for x∈R~n+and 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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