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General Two-point Quadrature Formulae


Kovač, Sanja; Pečarić, Josip; Vukelić, Ana
General Two-point Quadrature Formulae // Applied Mathematics and Scientific Computing
Brijuni, Hrvatska, 2007. (predavanje, nije recenziran, sažetak, znanstveni)


Naslov
General Two-point Quadrature Formulae

Autori
Kovač, Sanja ; Pečarić, Josip ; Vukelić, Ana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
Applied Mathematics and Scientific Computing

Mjesto i datum
Brijuni, Hrvatska, 9.-13.07.2007

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Quadrature formula; two-point formula; trapezoid; Newton-Cotes; midpoint; Maclaurin; weighted formula; Gaussian formula
(Quadrature formula; two-point formula; trapezoid; Newton-Cotes; midpoint; Maclaurin; weighted formula; Gaussian form)

Sažetak
General two-point integral quadrature formulae are considered. For deriving those formulae the sequences of harmonic polynomials and $w-$harmonic functions are used. Some best possible and sharp error estimates are obtained for the functions whose higher order derivatives belong to L_p[a, b] spaces. Classical trapezoidal, midpoint, open type Newton-Cotes two-point formula and Maclaurin two- point formula are obtained as special cases of the first formula. Weighted two-point quadrature formula is produced as the special case of the $m- $point formula. Special types of the weighted functions are used in establishing the generalizations of the Gauss-Legendre, Gauss- Chebyshev and Gauss-Hermite formulae.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )

Ustanove
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb,
Geotehnički fakultet, Varaždin