Some Refinements of Discrete Jensen's Inequality and Some of its Applications

In this paper, using some aspects of convex functions, we refine discrete Jensen’s inequality via weight functions. Then, using these results, we give some applications in different abstract spaces and obtain some new interesting inequalities

Some Refinements of Entropy Inequality

In this note, using some refinements of Jensen’s discrete inequality, we give some new refinements of Entropy inequality

Some Refinements of Relative Information Inequality

In this note, using some refinements of Jensen’s discrete inequality, we give some new refinements of Kullback-Leibler’s relative information inequality