engleski

Combinatorial improvement of Shannon inequality and related results

In this paper, we establish combinatorial improvement of Shannon inequality using improved Jensen and Popoviciu inequalities. The corresponding results for the Kullback-Leibler distance, Zipf-Mandelbrot Law, Renyi entropy in with respect to Information Theory are studied as application. Finally, the related inequalities are generalized for Csiszar divergence.

Entropy ; Zipf-Mandelbrot Law ; Kullback-Leibler distance ; Csiszar divergence ; Jensen’s inequality

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