Pregled bibliografske jedinice broj: 279104
Estimates for the Gauss 4-point formula for functions with low degree of smoothness
Estimates for the Gauss 4-point formula for functions with low degree of smoothness // Applied Mathematics Letters, 20 (2007), 1; 1-6 (međunarodna recenzija, članak, znanstveni)
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Naslov
Estimates for the Gauss 4-point formula for functions with low degree of smoothness
Autori
Franjić, Iva ; Perić, Ivan ; Pečarić, Josip
Izvornik
Applied Mathematics Letters (0893-9659) 20
(2007), 1;
1-6
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Gauss quadrature formulae; Bernoulli polynomials; extended Euler formulae
Sažetak
The aim of this work is to derive the Gauss four-point quadrature formula using Euler-type identities. The advantage of this approach is that it enables us to obtain estimates of the error for functions with low degree of smoothness and also to produce quadrature formulae which contain values of derivatives at the end points of the interval.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews