engleski

Converse to the Sherman inequality with applications

In this paper we proved a converse to Sherman’s inequality. Using the concept of f-divergence we obtained some inequalities for the well-known entropies. We also introduced a new entropy by applying the Zipf-Mandelbrot law and derived some related inequalities

Sherman inequality ; Majorization inequality ; Jensen inequality ; f-divergence ; Zipf-Mandelbrot entropy ; convex function

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