A note on Schur-convexity of extended mean values

被引：45
作者：
Qi, F [1 ]
机构：
[1] Henan Polytech Univ, Res Inst Math Inequal, Jiazuo 454010, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2005年 / 35卷 / 05期
关键词：
Schur-convexity; extended mean values; arithmetic mean of function; logarithmic mean values; identric (exponential) mean values; inequality;
D O I：
10.1216/rmjm/1181069663
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the Schur-convexity of the extended mean values is proved. Consequently, an inequality between the logarithmic mean values and the identric (exponential) mean values is deduced.
引用
收藏
页码：1787 / 1793
页数：7
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