A NEW REFINEMENT OF JENSEN-TYPE INEQUALITY WITH RESPECT TO UNIFORMLY CONVEX FUNCTIONS WITH APPLICATIONS IN INFORMATION THEORY

被引：0

作者：

Sayyari, Yamin ^{[1
]}

Barsam, Hasan ^{[2
]}

Ciurdariu, Loredana ^{[3
]}

机构：

[1] Sirjan Univ Technol, Dept Math, Sirjan, Iran

[2] Univ Jiroft, Fac Sci, Dept Math, POB 78671-61167, Jiroft, Iran

[3] Politehn Univ Timisoara, Dept Math, Timisoara 300006, Romania

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 04期

关键词：

Jensen' inequality; uniformly convex; Shannon's entropy; BOUNDS;

D O I：

10.7153/jmi-2023-17-85

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a new refinement of Jensen -type inequality for uniformly convex functios. Furthermore, we apply those results in information theory and we obtain strong and more precise bounds for Shannon's entropy.

引用

页码：1311 / 1322

页数：12