Uniform convergence results for Cauchy principal value integrals

Author:

Rabinowitz Philip

Abstract

A general uniform convergence theorem for numerical integration of Cauchy principal value integrals is proved. Seven special instances of this theorem are given as corollaries.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference15 articles.

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4. \bysame, Mean and uniform convergence of quadrature rules for evaluating the finite Hilbert transform, submitted for publication.

5. C. Dagnino and E. Santi, On the convergence of spline product quadratures for Cauchy principal value integrals, submitted for publication.

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