Pregled bibliografske jedinice broj: 721204
A new general Opial type inequality
A new general Opial type inequality // Mathematical Inequalities and Applications 2014 One thousand paper conference / Maja Andrić, Milica Klaričić Bakula, Sanja Varošanec (ur.).
Zagreb: Element, 2014. str. 25-25 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 721204 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A new general Opial type inequality
Autori
Barbir, Ana ; Krulić Himmelreich, Kristina, Pečarić, Josip
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Mathematical Inequalities and Applications 2014 One thousand paper conference
/ Maja Andrić, Milica Klaričić Bakula, Sanja Varošanec - Zagreb : Element, 2014, 25-25
Skup
Mathematical Inequalities and Applications 2014 One thousand paper conference
Mjesto i datum
Trogir, Hrvatska, 22.06.2014. - 26.06.2014
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Opial inequality ; convex function ; Green function ; Lidstone series ; Hermite interpolating polynomial
Sažetak
In this talk we give a general Opial type inequality. Our result contains two functions, convex and concave function. We prove a new general inequality on a measure space. The obtained inequalities are not direct generalizations of the Opial inequality but they are of Opial type because integrals contain function and its integral representation. We apply our result to numerous symmetric functions and obtain new results that involve Green's functions, Lidstone series and the Hermite interpolating polynomials.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb
