THE SCHUR CONVEXITY OF GINI MEAN VALUES IN THE SENSE OF HARMONIC MEAN

被引：0
作者：
夏卫锋 [1 ]
褚玉明 [2 ]
机构：
[1] School of Teacher Education Huzhou Teachers College
[2] Department of Mathematics Huzhou Teachers College
来源：
ActaMathematicaScientia | 2011年 / 31卷 / 03期
关键词：
Gini mean values; 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：
We prove that the Gini mean values S(a,b; x,y) are Schur harmonic convex with respect to (x,y)∈(0,∞)×(0,∞) if and only if (a, b) ∈{(a, b):a≥0,a ≥ b,a+b+1≥0}∪{(a,b):b≥0,b≥a,a+b+1≥0} and Schur harmonic concave with respect to (x,y) ∈ (0,∞)×(0,∞) if and only if (a,b)∈{(a,b):a≤0,b≤0,a|b|1≤0}.
引用
收藏
页码：1103 / 1112
页数：10
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