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A note on generalized averaged Gaussian formulas

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Abstract

We have recently proposed a very simple numerical method for constructing the averaged Gaussian quadrature formulas. These formulas exist in many more cases than the real positive Gauss–Kronrod formulas. In this note we try to answer whether the averaged Gaussian formulas are an adequate alternative to the corresponding Gauss–Kronrod quadrature formulas, to estimate the remainder term of a Gaussian rule.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, P.O. Box 60, 34000, Kragujevac, Serbia

    Miodrag M. Spalević

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  1. Miodrag M. Spalević
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Correspondence to Miodrag M. Spalević.

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Spalević, M.M. A note on generalized averaged Gaussian formulas. Numer Algor 46, 253–264 (2007). https://doi.org/10.1007/s11075-007-9137-8

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  • DOI: https://doi.org/10.1007/s11075-007-9137-8

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