Pregled bibliografske jedinice broj: 1270563
Levinson-type inequalities via new Green functions and Montgomery identity
Levinson-type inequalities via new Green functions and Montgomery identity // Open Mathematics, 18 (2020), 1; 632-652 doi:10.1515/math-2020-0163 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1270563 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Levinson-type inequalities via new Green functions and Montgomery identity
Autori
Adeel, Muhammad ; Khan, Khuram Ali ; Pečarić, Ðilda ; Pečarić, Josip
Izvornik
Open Mathematics (2391-5455) 18
(2020), 1;
632-652
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Levinson's inequality ; Montgomery identity ; information theory
Sažetak
In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points of two types. Moreover, a new functional is introduced based on f divergence and then some estimates for new functional are obtained. Some inequalities for Shannon entropies are obtained too.
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
