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New Lower and Upper Bounds for f-Divergences With Applications in Information Theory (CROSBI ID 673212)

Prilog sa skupa u zborniku | prošireni sažetak izlaganja sa skupa | međunarodna recenzija

Ivelić Bradanović, Slavica ; Pečarić, Đilda ; Pečarić, Josip New Lower and Upper Bounds for f-Divergences With Applications in Information Theory // Mathematical Inequalities and Applications 2018, Book of Abstracts.. Zagreb: Element, 2018. str. 8-8

Podaci o odgovornosti

Ivelić Bradanović, Slavica ; Pečarić, Đilda ; Pečarić, Josip

engleski

New Lower and Upper Bounds for f-Divergences With Applications in Information Theory

Csiszár introduced the concept of f-divergence functional as generalized measure of information on the set of probability distribution. We established a new lower and upper bound for f-divergence functional using some basic convexity facts. As special cases and corollaries of our bounds we establishe lower and upper bounds for some well-known entropies as well as Shannon's and relative entropy also known as the Kullback-Leibler divergence. As applications we also use the Zipf-Mandelbrot law to introduce a new entropy and to derive some new related results.

Sherman's inequality ; convex function ; Csiszár f-divergence, entropy ; Zipf-Mandelbrot law ; Zipf law

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Podaci o prilogu

8-8.

2018.

objavljeno

Podaci o matičnoj publikaciji

Mathematical Inequalities and Applications 2018, Book of Abstracts.

Zagreb: Element

Podaci o skupu

Mathematical Inequalities and Applications, 2018.

predavanje

04.07.2018-08.07.2018

Zagreb, Hrvatska

Povezanost rada

Matematika