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Weighted Uniform Convergence of the Quadrature Method for Cauchy Singular Integral Equations

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Singular Integral Operators and Related Topics

Part of the book series: Operator Theory Advances and Applications ((OT,volume 90))

Abstract

Collocation and quadrature methods for Cauchy singular integral equations on an interval with variable coefficients are studied. Convergence rates are proved in weighted uniform and uniform norms.

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Author information

Authors and Affiliations

  1. Istituto per Applicazioni della Mathematica, C.N.R., Via Pietro Castellino 111, 80131, Napoli, Italy

    Maria Rosaria Capobianco & Giuseppe Mastroianni

  2. Fakultät Mathematik, Technische Universität Chemnitz-Zwickau, D-09107, Chemnitz, Germany

    Peter Junghanns & Uwe Luther

Authors
  1. Maria Rosaria Capobianco
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  2. Peter Junghanns
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  3. Uwe Luther
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  4. Giuseppe Mastroianni
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Editor information

Editors and Affiliations

  1. School of Mathematical Sciences, Tel-Aviv University, Ramat Aviv, Israel

    I. Gohberg

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© 1996 Birkhäuser Verlag, Basel/Switzerland

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Capobianco, M.R., Junghanns, P., Luther, U., Mastroianni, G. (1996). Weighted Uniform Convergence of the Quadrature Method for Cauchy Singular Integral Equations. In: Böttcher, A., Gohberg, I. (eds) Singular Integral Operators and Related Topics. Operator Theory Advances and Applications, vol 90. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9040-3_5

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  • DOI: https://doi.org/10.1007/978-3-0348-9040-3_5

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9881-2

  • Online ISBN: 978-3-0348-9040-3

  • eBook Packages: Springer Book Archive

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