Pregled bibliografske jedinice broj: 898255
Unified treatment of fractional integral inequalities via linear functionals
Unified treatment of fractional integral inequalities via linear functionals // Miskolc Mathematical Notes, 18 (2017), 1; 139-154 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 898255 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Unified treatment of fractional integral inequalities via linear functionals
Autori
Bombardelli, Mea ; Nikolova, Ludmila ; Varošanec, Sanja
Izvornik
Miskolc Mathematical Notes (1787-2405) 18
(2017), 1;
139-154
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
the Chebyshev inequality, the Chebyshev difference, fractional integral operator, isotonic linear functional, Lipschitz function
Sažetak
In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc. These results give us an elegant method for obtaining a number of inequalities for various kinds of fractional integral operators such as for the Riemann-Liouville fractional integral operator, the Hadamard fractional integral operator, fractional hyperqeometric integral and corresponding q-integrals.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts