Pregled bibliografske jedinice broj: 625201
Generalized fractional Steffensen type inequalities
Generalized fractional Steffensen type inequalities // Eurasian mathematical journal, 3 (2012), 4; 81-98 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 625201 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalized fractional Steffensen type inequalities
Autori
Pečarić, Josip ; Perić, Ivan ; Smoljak, Ksenija
Izvornik
Eurasian mathematical journal (2077-9879) 3
(2012), 4;
81-98
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen inequality; fractional integrals and derivatives
Sažetak
In this paper, we state, prove and discuss new general Steffensen type inequality. As a special case of that general result we obtain fractional inequalities involving fractional integrals and derivatives of Riemann-Liouville, Canavati, Caputo, Hadamard and Erdelyi-Kober types as well as fractional integrals of a function with respect to another function. Furthermore, we show that our main result covers much more general situations applying it to multidimensional settings. Finally we give mean value theorems for linear functionals related to obtained Steffensen type inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
