Pregled bibliografske jedinice broj: 492759
Fractional Steffensen Type Inequalities
Fractional Steffensen Type Inequalities // Complex Variables and Elliptic Equations, 56 (2011), 10/11; 975-990 doi:10.1080/17476933.2010.551195 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 492759 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Fractional Steffensen Type Inequalities
Autori
Krulić, Kristina ; Pečarić, Josip ; Smoljak, Ksenija
Izvornik
Complex Variables and Elliptic Equations (1747-6933) 56
(2011), 10/11;
975-990
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen inequality; Riemann-Liouville fractional integral; exponential convexity
Sažetak
In this paper, we state, prove and discuss new Steffensen type fractional inequalities involving fractional derivatives of Canavati, Riemann– Liouville, and Caputo types. Finally, we define functionals as a difference between the right-hand and the left-hand side of the new fractional Steffensen type inequalities and obtain related analogous of the Lagrange and the Cauchy mean value theorems. Furthermore, exponential convexity is proven and Holder-type and Minkowski-type inequalities are given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, 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
