Pregled bibliografske jedinice broj: 1192290
On the converse Jensen-type inequality for generalized f-divergences and Zipf–Mandelbrot law
On the converse Jensen-type inequality for generalized f-divergences and Zipf–Mandelbrot law // Mathematics, 10 (2022), 6; 947, 14 doi:10.3390/math10060947 (međunarodna recenzija, članak, znanstveni)
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Naslov
On the converse Jensen-type inequality for generalized f-divergences and Zipf–Mandelbrot law
Autori
Rodić, Mirna
Izvornik
Mathematics (2227-7390) 10
(2022), 6;
947, 14
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Green function ; converse Jensen inequality ; f-divergence ; Zipf–Mandelbrot law
Sažetak
Motivated by some recent investigations about the sharpness of the Jensen inequality, this paper deals with the sharpness of the converse of the Jensen inequality. These results are then used for deriving new inequalities for different types of generalized f-divergences. As divergences measure the differences between probability distributions, these new inequalities are then applied on the Zipf–Mandelbrot law as a special kind of a probability distribution.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
