A new class of convex functions and applications in entropy and analysis

被引：1
|
作者：
Sayyari, Yamin [1 ]
Dehghanian, Mehdi [1 ]
机构：
[1] Sirjan Univ Technol, Dept Math, Sirjan, Iran
来源：
CHAOS SOLITONS & FRACTALS | 2024年 / 181卷
关键词：
Shannon's entropy; k-mean; k-harmonically convex function; Jensen's inequality; INEQUALITY;
D O I：
10.1016/j.chaos.2024.114677
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we introduce the concepts of ������-harmonic mean and ������-harmonically convex functions. As an application of ������-harmonic mean, we present a model in physics. Also, we prove Jensen type, Hermite- Hadamard type and Mercer type inequalities for these functions. Further, using this results, we give new bounds for Shannon entropy and geometrically mean.
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页数：6
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