Pregled bibliografske jedinice broj: 914083
Estimations of f- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
Estimations of f- and Rényi divergences by using a cyclic refinement of the Jensen's inequality // Bulletin of the Malaysian Mathematical Sciences Society, 42 (2017), 933-946 doi:10.1007/s40840-017-0526-4 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 914083 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Estimations of f- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
Autori
Horvath, Laszlo ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Bulletin of the Malaysian Mathematical Sciences Society (0126-6705) 42
(2017);
933-946
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
discrete Jensen’s inequality ; f-divergence ; Rényi divergence ; entropy
Sažetak
The Jensen’s inequality plays a crucial role to obtain inequalities for divergences between probability distributions. In this paper, we introduce a new functional, based on the f- divergence functional, and then, we obtain some estimates for the new functional, the f- divergence and the Rényi divergence by applying a cyclic refinement of the Jensen’s inequality. Some inequalities for Rényi and Shannon entropies are obtained too. Zipf–Mandelbrot law is used to illustrate the results.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Interdisciplinarne prirodne znanosti, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Projekti:
--IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Hrvatsko katoličko sveučilište, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
