Pregled bibliografske jedinice broj: 598272
General 3-point quadrature formulas of Euler type
General 3-point quadrature formulas of Euler type // ANZIAM journal, 52 (2011), 3; 309-317 doi:10.1017/S1446181111000721 (međunarodna recenzija, članak, znanstveni)
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Naslov
General 3-point quadrature formulas of Euler type
Autori
Franjić, Iva ; Pečarić, Josip ; Perić, Ivan
Izvornik
ANZIAM journal (1446-1811) 52
(2011), 3;
309-317
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
general 3-point quadrature formulas; corrected quadrature formulas; sharp estimates of error; Bernoulli polynomials; extended Euler formula
Sažetak
General 3-point quadrature formulas for the approximate evaluation of an integral of a function f over [0, 1], through the values f(x), f(1/2), f(1-x), f'(0) and f'(1), are derived via the extended Euler formula. Such quadratures are sometimes called "corrected" or "quadratures with end corrections" and they have a higher accuracy than the adjoint classical formulas, which only include the values f(x), f(1/2), f(1-x). The Gauss 3-point, corrected Simpson, corrected dual Simpson, corrected Maclaurin and corrected Gauss 2-point formulas are recaptured as special cases. Finally, sharp estimates of error are given for this type of quadrature formula.
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:
Prehrambeno-biotehnološki fakultet, 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::
- MathSciNet
