Pregled bibliografske jedinice broj: 618115
Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity
Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity // International journal of mathematics and mathematical sciences, 2012 (2012), 343191-1 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 618115 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity
Autori
Pečarić, Josip ; Ribičić Penava, Mihaela
Izvornik
International journal of mathematics and mathematical sciences (0161-1712) 2012
(2012);
343191-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
four-point quadrature formula; Montgomery identity; sharp inequalities
Sažetak
In this paper we consider families of general four-point quadrature formulae using a generalization of the Montgomery identity. The results are applied to obtain some sharp inequalities for functions whose derivatives belong to Lp spaces. Generalizations of Simpson’s 3/8 formula and the Lobatto four-point formula with related inequalities are considered as special cases.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Jukić, Dragan, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Mihaela Ribičić Penava
(autor)
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Mathematical Reviews
