The Schur Geometrical Convexity of the Extended Mean Values

被引：1

作者：

Chu Yuming ^{[1
]}

Zhang Xiaoming ^{[2
]}

Wang Gendi ^{[3
]}

机构：

[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

[2] Haining Radio & TV Univ, Haining 314400, Peoples R China

[3] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

来源：

JOURNAL OF CONVEX ANALYSIS | 2008年 / 15卷 / 04期

关键词：

Extended mean value; Schur convex; Schur concave; Schur geometrically convex; Schur geometrically concave;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that the extended mean values E(r,s; x, y) are Schur geometrically convex (or concave, respectively) with respect to (x, y) is an element of (0,infinity) x (0,infinity) if and only if s + r >= 0 (or s + r <= 0, respectively).

引用

页码：707 / 718

页数：12