A new refinement of Jensen’s inequality with applications in information theory

Abstract

In this paper, we present a new refinement of Jensen’s inequality with applications in information theory. The refinement of Jensen’s inequality is obtained based on the general functional in the work of Popescu et al. As the applications in information theory, we provide new tighter bounds for Shannon’s entropy and some f-divergences.

Keywords

• refinements
• jensen’s inequality
• information theory
• shannon’s entropy
• f-divergences
• bounds
• 26b25
• 26d15
• 94a17