University of Jiroft | hasan barsam

Research

Title	JENSEN’S INEQUALITY AND p-CONVEX FUNCTIONS WITH APPLICATION IN INFORMATION THEORY
Type	Article
Keywords	Jensen’s inequality p-convex function Convex function Inequalit Shannon entropy
Researchers	hasan barsam, Yamin Sayyari, Loredana Ciurdariu

Abstract

In this paper we give extensions of Jensens discrete inequality considering the class of p-convex functions. We also introduce lower and upper bounds for Jensens inequality (for p-convex functions), and we apply this results in information theory and obtain new and strong bounds for Shannons entropy of a probability distribution