Pregled bibliografske jedinice broj: 1271279
Generalized Csiszar's F-Divergence for Lipschitzian Functions
Generalized Csiszar's F-Divergence for Lipschitzian Functions // Mathematical inequalities & applications, 24 (2021), 1; 13-30 doi:10.7153/mia-2021-24-02 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1271279 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalized Csiszar's F-Divergence for Lipschitzian Functions
Autori
Pecaric, Dilda ; Pecaric, Josip ; Pokaz, Dora
Izvornik
Mathematical inequalities & applications (1331-4343) 24
(2021), 1;
13-30
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
f -divergence, Lipschitzian function, Zipf-Mandelbrot law
Sažetak
We started with the generalization of the Csisz ́ar’s f -divergence. We stated and proved Jensen’s type inequality for L-Lipschitzian functions. The results for commonly used examples of f-divergences, such as the Kullbach-Leibler divergence, the Hellinger divergence, the R ́enyi divergence and χ2 -distance are derived. Further, we examined two specific averaging functions, previously known in the literature. Finally, we obtained interesting results concerning the Zipf-Mandelbrot law.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Ustanove:
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
