Pregled bibliografske jedinice broj: 368885
Weighted version of general integral formula of the Euler type
Weighted version of general integral formula of the Euler type // Mathematical Inequalities & Applications, 13 (2010), 3; 579-599 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 368885 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Weighted version of general integral formula of the Euler type
Autori
Kovač, Sanja ; Pečarić, Josip
Izvornik
Mathematical Inequalities & Applications (1331-4343) 13
(2010), 3;
579-599
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
harmonic polynomials; weighted integral formula; one-point formula; w-Appell sequences; w-harmonic sequences; weight; Lp inequalities; Gauss rule; Euler identity
Sažetak
The weighted generalization of the integral formula in m nodes is introduced, and some sharp and the best possible inequalities for the functions whose higher order derivatives belong to L_p spaces are given. Specially, the general one- point integral formula is established. Special cases of the well known weights are considered and generalizations of the Gaussian quadrature formulae with one node are obtained.
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,
Geotehnički fakultet, Varaždin
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
