Wavelet and Linear Algebra

JENSEN’S INEQUALITY AND p-CONVEX FUNCTIONS WITH APPLICATION IN INFORMATION THEORY

Document Type : Research Paper

Authors

hasan barsam 1
yamin sayyari 2
Loredana CIURDARIU 3

1 Department of Mathematics, Faculty of Science, University of Jiroft, Iran

2 Department of Mathematics, SIRJAN UNIVERSITY OF TECHNOLOGY, SIRJAN, IRAN.

3 POLITEHNICA UNIVERSITY OF TIMISOARA, DEPARTMENT OF MATHEMATICS, TIMISOARA,ROMANIA

10.22072/wala.2024.2027512.1451
Abstract
Abstract: In this paper, we establish extensions of Jensen’s discrete inequality for the class of p-convex functions. Also, we give lower and upper bounds for this inequality. We apply these results in information theory and obtain new and strong bounds for Shannon’s entropy of a probability distribution. Also, We give some applications.

Keywords

Jensen’s inequality
p-convex function
Convex function
Inequality
Wavelet and Linear Algebra
Volume 11, Issue 2
October 2024
Pages 76-87

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