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MONOTONICITY OF THE JENSEN FUNCTIONAL FOR f- DIVERGENCES WITH APPLICATIONS TO THE ZIPF-MANDELBROT LAW are also interpreted in the environment of the Zipf and the Zipf-Mandelbrot law.

ON A JENSEN-TYPE INEQUALITY FOR GENERALIZED f-DIVERGENCES AND ZIPF-MANDELBROT LAW. The applications on the Zipf-Mandelbrot law, as one specific kind of probability distributions, are also given.

Bounds for Csiszár divergence and hybrid Zipf-Mandelbrot entropy and their applications for Csiszár divergence. By using these results, we give many estimations for hybrid Zipf

Jensen-Grüss inequality and its applications for the Zipf-Mandelbrot lawJensen-Grüss inequality and its applications for the Zipf-Mandelbrot law

Bounds for Shannon and Zipf-Mandelbrot entropiesShannon and Zipf-Mandelbrot entropies have many applications in many applied sciences, for example

On Zipf–Mandelbrot entropyZipf–Mandelbrot entropy has many applications in many applied sciences, for example, in information

Hybrid Zipf-Mandelbrot law of generalization from Zipf's to hybrid Zipf's law. Extending this idea we make transition from Zipf

Estimation of divergence measures via weighted Jensen inequality on time scales are given in the light of the Zipf-Mandelbrot law and the Zipf law.

Zipf's law for LiveJournal directions, represented in the present work: estimation of coefficients for the Zipf's law for different

Superquadratic Functions in Information Theory for the Shannon entropy in the terms of the Zipf and Zipf- Mandelbrot’s law. © 2020. All Rights Reserved.

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