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

页码：1501 / 1506

页数：6

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