New information inequalities with two measures using new F-divergence and convex function

Abstract

The applications of divergence measures in the fields of information is the study of related problems in information processing, information storage, information retrieval and so on. In particular, in this paper, with the help of the new f-divergence measure, we obtained the new information inequalities which related to two divergence measures. Also discussed about convexity of the function and bounds for divergence measures using new f- divergence measures and their properties.

Keywords

• New f-divergence measure
• Convex function
• Jensen's inequality
• HH-divergence
• Nonlinear equations