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

Author(s):

Hasan Barsam * , Yamin Sayyari , Loredana CIURDARIU

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Wavelets and Linear Algebra, Volume:11 Issue: 2, Autumn and Winter 2024
Pages:
76 to 87
https://www.magiran.com/p2810908