A Sgeegö quadrature formula for a trigonometric polynomial modification of the Lebesgue measure
ISSN: 1130-4723
Ano de publicación: 1999
Volume: 11
Número: 1-2
Páxinas: 183-191
Tipo: Artigo
Outras publicacións en: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum
Resumo
Szegi:i quadrature formulas are used for the computation of integrals over the unit circle. They share sorne properties with the classical Gauss quadrature formulas for integrals on the real line. Indeed, Szegi:i quadrature formulas have maximum domain of validity. Furthermore, as Gauss quadrature formulas, they have positive coefficients, and nodes located in the region of integration. Nevertheless, unlike classical Gauss quadrature formulas, Szegi:i quadrature formulas are para-orthogonal rather than orthogonal. There are only a few known examples of Szegi:i quadrature formulas. In this note a new Szegi:i quadrature formula for a trigonometric polynomial modification of the Lebesgue measure on the. unit circle is constructed.