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
收藏
页码：1311 / 1322
页数：12
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