Pregled bibliografske jedinice broj: 710392
An Opial-type integral inequality and exponentially convex functions
An Opial-type integral inequality and exponentially convex functions // Fractional differential calculus, 5 (2015), 1; 25-42 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 710392 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
An Opial-type integral inequality and
exponentially convex functions
Autori
Andrić, Maja ; Barbir, Ana ; Iqbal, Sajid ; Pečarić, Josip
Izvornik
Fractional differential calculus (1847-9677) 5
(2015), 1;
25-42
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Cauchy mean value theorems ; exponential convexity ; Stolarsky means ; fractional integral ; fractional derivative
Sažetak
In this paper a certain class of convex functions in an Opial-type integral inequality is considered. Cauchy type mean value theorems are proved and used in studying Stolarsky type means defined by the observed integral inequality. Also, a method of producing n- exponentially convex and exponentially convex functions is applied. Some new Opial-type inequalities are given for different types of fractional integrals and fractional derivatives as applications.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
