University of Jiroft | hasan barsam

Research

Title	NEW BOUNDS FOR THE JENSEN-DRAGOMIR FUNCTIONAL WITH APPLICATIONS IN ANALYSIS
Type	Article
Keywords	Shannon’s entropy, Jensen’s inequality, Dragomir’s inequality, Convex function
Researchers	Yamin Sayyari, mehdi DEHGHANIAN, hasan barsam

Abstract

Abstract. The normalised Jensen functional is an important functional in theory of inequalities and it has been a subject of study in its own right. In this paper, we establish new bounds for Jensen’s discrete inequality. Also, we improve the basic result of Dragomir through a stronger refinement of Jensen's inequality which is then applied to analysis and information theory.