New information inequalities on new f- divergence by using ostrowski’s inequalities and its application

Many relations have been obtained among several divergences by using several information inequalities. In this work, we also relate the Relative Jensen- Shannon divergence, Triangular discrimination, Relative Arithmetic- Geometric divergence, Relative J- divergence, and Hellinger discrimination to the Chi- square divergence and Varitional distance independently in a specific interval by using two different new information inequalities on new generalized f- divergence, together with numerical verification by taking two discrete probability distributions: Binomial and Poisson. These new information inequalities are derived by using Ostrowski’s inequalities. Application to the Mutual information and numerical approximation are done as well.