Pregled bibliografske jedinice broj: 986650
New Lower and Upper Bounds for f-Divergences With Applications in Information Theory
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 (predavanje, međunarodna recenzija, prošireni sažetak, znanstveni)
CROSBI ID: 986650 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
New Lower and Upper Bounds for f-Divergences With Applications in Information Theory
Autori
Ivelić Bradanović, Slavica ; Pečarić, Đilda ; Pečarić, Josip
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, prošireni sažetak, znanstveni
Izvornik
Mathematical Inequalities and Applications 2018, Book of Abstracts.
/ - Zagreb : Element, 2018, 8-8
Skup
Mathematical Inequalities and applications 2018
Mjesto i datum
Zagreb, Hrvatska, 04.07.2018. - 08.07.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Sherman's inequality ; convex function ; Csiszár f-divergence, entropy ; Zipf-Mandelbrot law ; Zipf law
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split
