Research Info

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
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.
Researchers Yamin Sayyari (First researcher)
mehdi DEHGHANIAN (Second researcher)
hasan barsam (Third researcher)