Numerische Mathematik

, Volume 8, Issue 2, pp 150–160 | Cite as

Bounds on the error of Gauss-type quadratures

  • Frank Stenger


Mathematical Method 


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  1. [1]
    Krylov, V.: Approximate calculation of integrals. New York: McMillan 1962 (translated by A. H.Stroud; first printing in Russian, 1959)Google Scholar
  2. [2]
    Davis, P. J.: Errors of numerical approximation for analytic functions. Survey of numerical analysis, edited byJ. Todd. New York: McGraw Hill 1962.Google Scholar
  3. [3]
    Hammerlin, G.: Ableitungsfreie Schranken für Quadraturfehler. Num. Math.5, 226–233 (1963).Google Scholar
  4. [4]
    Wilf, H.: Exactness conditions in numerical quadrature. Num. Math.5, 315–319 (1964).Google Scholar
  5. [5]
    McNamee, J.: Error bounds for the evaluation of integrals by the Euler-Maclaurin formula and by Gauss-type formulae. Math. Comput.18, 368–381 (1964).Google Scholar
  6. [6]
    Erdelyi, A.,: Higher transcendental functions, Vol. 2. New York: et al. McGraw Hill 1953.Google Scholar
  7. [7]
    — andM. Wyman: The asymptotic evaluation of certain integrals. Arch. Rational Mech. Anal.14, 217–260 (1963).Google Scholar
  8. [8]
    National Bureau of Standards: Handbook of mathematical functions. Applied Math. Series, Vol. 55 (1964).Google Scholar
  9. [9]
    Meinardus, G.: Approximation von Funktionen und ihre numerische Behandlung. Berlin- Göttingen-Heidelberg: Springer 1964.Google Scholar

Copyright information

© Springer-Verlag 1966

Authors and Affiliations

  • Frank Stenger
    • 1
  1. 1.Department of MathematicsUniversity of AlbertaEdmontonCanada

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