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Error estimates for a class of quadrature formulae

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Abstract

The problem considered is that of estimating the error of a class of quadrature formulae for ∫ 1−1 w r (x)f(x)dx, (w r (x) being a positive weight-function), where only values off(x) in (−1,1) and off(x) and its derivatives at the end-points of the interval are considered.

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References

  1. M. M. Chawla and M. K. Jain,Error estimates for Gauss quadrature formulas for analytic functions. Math. Comp. 22, 82–90 (1968).

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  3. D. D. Stancu and A. H. Stroud,Quadrature formulas with simple Gaussian nodes and multiple fixed nodes. Math Comp. 17, 384–394 (1963).

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Authors and Affiliations

  1. Department of Mathematics, James Graham College, Leeds, Yorkshire, England

    H. V. Smith

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  1. H. V. Smith
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Smith, H.V. Error estimates for a class of quadrature formulae. BIT 16, 394–399 (1976). https://doi.org/10.1007/BF01932723

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  • DOI: https://doi.org/10.1007/BF01932723

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