On the refinement of Jensen's inequality

被引：21

作者：

Khan, M. Adil ^{[1
]}

Khan, G. Ali ^{[1
]}

Ali, T. ^{[1
]}

Kilicman, A. ^{[2
,3
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar, Pakistan

[2] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia

[3] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 262卷

关键词：

Convex functions; Jensen's inequality; Mean f-deviations; f-Divergence measures;

D O I：

10.1016/j.amc.2015.04.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this work is to present the extension of the recent results given by Dragornir [S.S. Dragornir, A new refinement of Jensen's inequality in linear spaces with applications, Math. Cornput. Model. 52 (2010) 1497-1505], where new refinement of Jensen's inequality is presented and given applications in the information theory. Our work improves the basic result of Dragomir through a stronger refinement of Jensen's inequality which is then applied to the Information Theory and obtained stronger lower bounds for the mean f-deviation and f-divergences. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：128 / 135

页数：8

共 17 条

[1] Bearing Fault Detection Based on Maximum Likelihood Estimation and Optimized ANN Using the Bees Algorithm [J].