Pregled bibliografske jedinice broj: 1270560
Estimation of f-divergence and Shannon entropy by Levin-son type inequalities for higher order convex functions via Taylor polynomial
Estimation of f-divergence and Shannon entropy by Levin-son type inequalities for higher order convex functions via Taylor polynomial // Journal of Mathematics and Computer Science, 21 (2020), 4; 322, 334 doi:10.22436/jmcs.021.04.05 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1270560 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Estimation of f-divergence and Shannon entropy by Levin-son type inequalities for higher order convex functions via Taylor polynomial
Autori
Adeel, Muhammad ; Khan, Khuram Ali ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Journal of Mathematics and Computer Science (2008-949X) 21
(2020), 4;
322, 334
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Information theory, convex functions, Levinson's inequality
Sažetak
In this paper, Levinson-type inequalities are generalized by using Taylor polynomial for the class of k-convex (k≥3) functions. Bounds for the remainders in new generalized identities involving data points of two types are given by using Čebyšev, Grúss and Ostrowski-type inequalities. In seek of applications of our results to information theory, new generalizations based on f-divergence estimates are also proven. Moreover, some inequalities for Shannon entropies are deduced as well.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Ustanove:
Hrvatsko katoličko sveučilište, Zagreb
