Some counterpart inequalities for a functional associated with Jensen's inequality

被引：5
|
作者：
Dragomir, SS
Goh, CJ
机构：
[1] Univ Transkei, Dept Math, ZA-5100 Untata, South Africa
[2] Univ Western Australia, Dept Math, Nedlands, WA 6907, Australia
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 1997年 / 1卷 / 04期
关键词：
Jensen's inequality; entropy function; superadditivity; monotonicity; arithmetic and geometric means;
D O I：
10.1155/S1025583497000210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive several inequalities for a functional connected with the well-known Jensen inequality on IRn. Some applications for arithmetic and geometric means, and for the entropy mapping in information theory are also discussed.
引用
收藏
页码：311 / 325
页数：15
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