Geodesic
Error bound of certain Gaussian quadrature rules for trigonometric polynomials
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 1, p. 63 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     author = {Marija P. Stani\'c and Aleksandar S. Cvetkovi\'c and Tatjana V. Tomovi\'c},
     title = {Error bound of certain {Gaussian} quadrature rules for trigonometric polynomials},
     journal = {Kragujevac Journal of Mathematics},
     pages = {63 },
     year = {2012},
     volume = {36},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2012_36_1_a6/}
}
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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/