Pregled bibliografske jedinice broj: 710393
More on certain Opial-type inequality for fractional derivatives and exponentially convex functions
More on certain Opial-type inequality for fractional derivatives and exponentially convex functions // Nonlinear functional analysis and applications, 19 (2014), 4; 563-583 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 710393 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
More on certain Opial-type inequality for
fractional derivatives and exponentially convex
functions
Autori
Andrić, Maja ; Barbir, Ana ; Farid, Ghulam ; Pečarić, Josip
Izvornik
Nonlinear functional analysis and applications (1229-1595) 19
(2014), 4;
563-583
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Opial-type inequality ; fractional integral ; fractional derivative
Sažetak
In this paper we consider a certain class of convex functions in Opial-type integral inequalities. Cauchy type mean value theorems are proved and used in studying Stolarsky type means defined by the observed integral inequalities. A method of producing n- exponentially convex and exponentially convex functions is applied. Also, some new Opial-type equalities are given involving fractional integrals and fractional derivatives.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
This work has been supported in part by Croatian Science Foundation under the project 5435.
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
