Pregled bibliografske jedinice broj: 1270244
Generalization of the Levinson inequality with applications to information theory
Generalization of the Levinson inequality with applications to information theory // Journal of inequalities and applications, 2019 (2019), 230, 10 doi:10.1186/s13660-019-2186-4 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1270244 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of the Levinson inequality with applications to information theory
Autori
Adeel, Muhammad ; Khan, Khuram Ali ; Pečarić, Ðilda ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1025-5834) 2019
(2019);
230, 10
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Levinson’s inequality, Green functions, Rényi entropy, the Shannon entropy, the Zipf–Mandelbrot law.
Sažetak
In the presented paper, Levinson’s inequality for the 3-convex function is generalized by using two Green functions. Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points of two types. Moreover, the main results are applied to information theory via the f-divergence, the Rényi divergence, the Rényi entropy, the Shannon entropy and 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:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
