New information inequalities on new generalized f-divergence and applications

Abstract

In this work, we introduce new information inequalities on new generalized f-divergence in terms of well known Chi-square divergence. Further we obtain relations of other standard divergence as an application of new inequalities by using Logarithmic power mean and Identric mean, together with numerical verification by taking two discrete probability distributions: Binomial and Poisson.

Keywords

• Generalized f-divergence
• New information inequalities
• Chi-square divergence
• Binomial and Poisson distributions