A new refinement of Jensen's inequality with applications in information theory

被引：6
作者：
Xiao, Lei [1 ]
Lu, Guoxiang [1 ]
机构：
[1] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
来源：
OPEN MATHEMATICS | 2020年 / 18卷
关键词：
refinements; Jensen's inequality; information theory; Shannon's entropy; f-divergences; bounds; CONVEX;
D O I：
10.1515/math-2020-0123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a new refinement of Jensen's inequality with applications in information theory. The refinement of Jensen's inequality is obtained based on the general functional in the work of Popescu et al. As the applications in information theory, we provide new tighter bounds for Shannon's entropy and some f-divergences.
引用
收藏
页码：1748 / 1759
页数：12
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