Geodesic
Error bound of certain Gaussian quadrature rules for trigonometric polynomials
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 1, p. 63 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function $w(x)=1+\cos x$, $x\in(-i,i)$, for $2i$-periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples.
Classification : 65D32 42A05 42C05
Keywords: Trigonometric degree of exactness, Gaussian quadrature rule, analytic function, error bound. 
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     title = {Error bound of certain {Gaussian} quadrature rules for trigonometric polynomials},
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Marija P. Stanić; Aleksandar S. Cvetković; Tatjana V. Tomović. Error bound of certain Gaussian quadrature rules for trigonometric polynomials. Kragujevac Journal of Mathematics, Tome 36 (2012) no. 1, p. 63 . http://geodesic.mathdoc.fr/item/KJM_2012_36_1_a6/