Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals

We estimated the different entropies like Shannon entropy, Rényi divergences, Csiszar divergence by using the Jensen’s type functionals. The Zipf’s mandelbrot law and hybrid Zipf’s mandelbrot law are used to estimate the Shannon entropy. Further the Hermite interpolating polynomial is used to generalize the new inequalities for m-convex function. © 2020, Forum D'Analystes, Chennai.