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On the convergence of a Gauss quadrature rule for evaluation of Cauchy type singular integrals

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Abstract

The convergence of a Gauss-Jacobi quadrature rule for the approximate evaluation of Cauchy principal value integrals has been described in recent papers [3] and [4] by the same authors, and will here be proved for Hölder-continuous functions.

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References

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Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics, The National Technical University, Athens (625), Greece

    G. J. Tsamasphyros & P. S. Theocaris

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  1. G. J. Tsamasphyros
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  2. P. S. Theocaris
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Tsamasphyros, G.J., Theocaris, P.S. On the convergence of a Gauss quadrature rule for evaluation of Cauchy type singular integrals. BIT 17, 458–464 (1977). https://doi.org/10.1007/BF01933455

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  • DOI: https://doi.org/10.1007/BF01933455

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