Comparison of the normalized Jensen functionals of two convex functions with applications

被引：0

作者：

Rooin, Jamal ^{[1
]}

Dehghan, Hossein ^{[1
]}

Alikhani, Akram ^{[1
]}

机构：

[1] Inst Adv Studies Basic Sci, Dept Math, Gava Zang 4513766731, Zanjan, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 243卷

关键词：

Convex function; Jensen's inequality; Kullback-Leibler divergence; Shannon's entropy; Inner product space; KY FAN; SPACES;

D O I：

10.1016/j.amc.2014.05.131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we compare normalized Jensen functionals of two given convex functions defined on an interval of the real line. As applications, we give some valuable upper and lower bounds for the AGM inequality, which lead to some comparison results regarding Kullback-Leibler divergence and Shannon's entropy. Some applications in inner product spaces are also included. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：528 / 536

页数：9

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