Pregled bibliografske jedinice broj: 668347
Weighted Montgomery identity for fractional integral of a function with respect to another function
Weighted Montgomery identity for fractional integral of a function with respect to another function // Georgian mathematical journal, 21 (2014), 1; 1-10 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 668347 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Weighted Montgomery identity for fractional integral of a function with respect to another function
Autori
Aglić Aljinović, Andrea ; Krnić, Mario ; Pečarić, Josip
Izvornik
Georgian mathematical journal (1072-947X) 21
(2014), 1;
1-10
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Fractional integral; Montgomery identity; Ostrowski inequality
Sažetak
We present a weighted Montgomery identity for fractional integral of a function f with respect to another function g and use it to obtain weighted Ostrowski type inequalities for fractional integrals involving functions whose first derivatives belong to Lp spaces. These inequalities are generally sharp in case p > 1 and best possible in case p = 1. Applications for the Hadamard fractional integrals are given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki 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
