Asymptotic expansion of error in interpolatory quadrature (Q1203688)

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scientific article; zbMATH DE number 120303
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Asymptotic expansion of error in interpolatory quadrature
scientific article; zbMATH DE number 120303

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    Asymptotic expansion of error in interpolatory quadrature (English)
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    22 February 1993
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    The abstract given by authors is very accurate: ``The classical bounds on the truncation error of quadrature formulas obtained by Peano's theorem are revisited, by assuming slightly stronger regularity conditions on the integrand function. The resulting series expansion of the error can be useful when studying the asymptotic complexity of automatic quadrature algorithms. New constants, related to the classical error coefficients are tabulated for the most common symmetric interpolatory rules''.
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    truncation error of quadrature formulas
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