Pregled bibliografske jedinice broj: 1270561
Estimation of different entropies via Lidstone polynomial using Jensen-type functionals
Estimation of different entropies via Lidstone polynomial using Jensen-type functionals // Arabian journal of mathematics, 9 (2020), 3; 613-631 doi:10.1007/s40065-020-00277-y (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1270561 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Estimation of different entropies via Lidstone polynomial using Jensen-type functionals
Autori
Khan, Khuram Ali ; Niaz, Tasadduq ; Pečarić, Ðilda ; Pečarić, Josip
Izvornik
Arabian journal of mathematics (2193-5351) 9
(2020), 3;
613-631
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen-type inequalities, Shannon entropy, f-divergence, Rényi divergence, Zipf–Mandelbrot law, hybrid Zipf–Mandelbrot law
Sažetak
In this work, some new functional of Jensen-type inequalities are constructed using Shannon entropy, f-divergence, and Rényi divergence, and some estimates are obtained for these new functionals. Also using the Zipf–Mandelbrot law and hybrid Zipf–Mandelbrot law, we investigate some bounds for these new functionals. Furthermore, we generalize these new functionals for m-convex function using Lidstone polynomial.
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)
- Emerging Sources Citation Index (ESCI)
- Scopus
