A Widespread Study of Inequalities Instigating Through Discrete Information Models

Abstract

The philosophy of inequalities has profundity been established for explaining numerous optimizational problems encountered in mathematical sciences. The contemporary develpments in computational mathematics have made it conceivable to compute enormous entities articulated in expressions of inequalities. Inequalities in information theory have been determined by the aspiration to elucidate communication theoretic problems. To disentangle such problems, the algebra of information was established and chain rules for entropy and mutual information were framed. The field of information theory participates with a critical protagonist in accepting and enumerating the communication of information in innumerable systems. Inequalities in information theory have appeared as influential implements to investigate and illustrate the restrictions and opportunities in information dispensation. The contemporary communiqué is an accurate step in the construction of information inequalities for the discrete probability distribution. We have prepared abundant inequalities concerning finite sequences of positive real numbers. The exceptional cases of these inequalities are definitely advantageous especially, in connection with innumerable measures of entropies and inaccuracy surviving in the literature of information theory.