Pregled bibliografske jedinice broj: 1030525
Monotonicity of the Jensen functional for f-divergences with applications to the Zipf-Mandelbrot law
Monotonicity of the Jensen functional for f-divergences with applications to the Zipf-Mandelbrot law // Mathematical Inequalities and Applications, 22 (2019), 4; 1427-1449 (međunarodna recenzija, članak, znanstveni)
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Naslov
Monotonicity of the Jensen functional for f-divergences with applications to the Zipf-Mandelbrot law
Autori
Lovričević, Neda ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Mathematical Inequalities and Applications (1331-4343) 22
(2019), 4;
1427-1449
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
monotonicity property, Jensen's functional, Zipf and Zipf-Madelbrot law, f-divergences
Sažetak
The Jensen functional in its discrete form is brought in relation to the Csiszar divergence functional via its monotonicity property. Thus deduced general results branch into specific forms for some of the well known f− divergences, e.g. the Kullback-Leibler divergence, the Hellinger distance, the Bhattacharyya coefficient, χ2− divergence, total variation distance. Obtained comparative inequalities are also interpreted in the environment of the Zipf and the Zipf-Mandelbrot law.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
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
