engleski

Aproximating f-difergence via Hermite interpolating polynomial

In this paper we introduce a new functional based on the fdivergence functional, and then we obtain some estimates for two special cases. We use the Cauchy’s error representation of Hermite interpolating polynomial and the results concerning to the Hermite-Hadamard inequalities are presented. Zipf-Mandelbrot law is used to illustrate the results.

Hermite interpolating polynomial, Hermite-Hadamard inequality, Csiszar f-divergence, Kullback-Leibler divergence, Shannon entropy, Zipf-Mandelbrot law

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