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Modifizierte Restgliedabschätzungen für Quadraturformeln

Modified estimates for quadrature errors

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Summary

Introduction of the projection operatorP leads to a modification of the Peano representation of remainders for quadrature rules. Combining the different versions of the remainders yields additional estimates.

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Literatur

  1. Davis, Ph.: Errors of numerical approximation for analytic functions. J. Rat. Mech. Anal.2, 303–313 (1953)

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  2. Hämmerlin, G.: Über ableitungsfreie Schranken für Quadraturfehler. Numer. Math.5, 226–233 (1963)

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  3. Sard, A.: Linear approximation. Providence: American Mathematical Society 1963

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Authors and Affiliations

  1. Physikalisch-Technische Bundesanstalt, Postfach 3345, D-3300, Braunschweig, Germany

    H. Potempa

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  1. H. Potempa
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Potempa, H. Modifizierte Restgliedabschätzungen für Quadraturformeln. Numer. Math. 30, 39–50 (1978). https://doi.org/10.1007/BF01403905

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  • DOI: https://doi.org/10.1007/BF01403905

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