Geodesic
Estimating the error of Gauss-Turán quadrature formulas using their extensions
Electronic transactions on numerical analysis, Tome 41 (2014), pp. 1-12.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider extensions of Kronrod-type and extensions obtained by generalized averaged Gaussian quadrature formulas for Gauss-Turán quadrature formulas. Existence and uniqueness of these extensions are considered. Their numerical construction is proposed. It is the first general method and is based on a combination of well-known numerical methods for Gauss-Turán, Gauss, Gauss-Kronrod, Anti-Gauss, and generalized averaged Gaussian quadratures. We employ these extensions for estimating the remainder terms in the Gauss-Turán quadratures. Numerical results are presented.
Classification : 65D32, 65D30
Keywords: quadrature rule, error estimate 
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     author = {Cvetkovi\'c, Aleksandar S. and Spalevi\'c, Miodrag M.},
     title = {Estimating the error of {Gauss-Tur\'an} quadrature formulas using their extensions},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--12},
     publisher = {mathdoc},
     volume = {41},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2014__41__a25/}
}
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Cvetković, Aleksandar S.; Spalević, Miodrag M. Estimating the error of Gauss-Turán quadrature formulas using their extensions. Electronic transactions on numerical analysis, Tome 41 (2014), pp. 1-12. http://geodesic.mathdoc.fr/item/ETNA_2014__41__a25/