Author = CIURDARIU, Loredana
Number of Articles: 1
JENSEN’S INEQUALITY AND p-CONVEX FUNCTIONS WITH APPLICATION IN INFORMATION THEORY
Volume 11, Issue 2, October 2024, Pages 76-87
https://doi.org/10.22072/wala.2024.2027512.1451
hasan barsam, yamin sayyari, Loredana CIURDARIU
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.