Skip to main content
SpringerLink
Log in

Bounds on the error of Gauss-type quadratures

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Krylov, V.: Approximate calculation of integrals. New York: McMillan 1962 (translated by A. H.Stroud; first printing in Russian, 1959)

    Google Scholar 

  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. Hammerlin, G.: Ableitungsfreie Schranken für Quadraturfehler. Num. Math.5, 226–233 (1963).

    Google Scholar 

  4. Wilf, H.: Exactness conditions in numerical quadrature. Num. Math.5, 315–319 (1964).

    Google Scholar 

  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. Erdelyi, A.,: Higher transcendental functions, Vol. 2. New York: et al. McGraw Hill 1953.

    Google Scholar 

  7. — andM. Wyman: The asymptotic evaluation of certain integrals. Arch. Rational Mech. Anal.14, 217–260 (1963).

    Google Scholar 

  8. National Bureau of Standards: Handbook of mathematical functions. Applied Math. Series, Vol. 55 (1964).

  9. Meinardus, G.: Approximation von Funktionen und ihre numerische Behandlung. Berlin- Göttingen-Heidelberg: Springer 1964.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada

    Frank Stenger

Authors
  1. Frank Stenger
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stenger, F. Bounds on the error of Gauss-type quadratures. Numer. Math. 8, 150–160 (1966). https://doi.org/10.1007/BF02163184

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02163184

Keywords

Search

Navigation