Noninterpolatory integration rules for Cauchy principal value integrals

Authors:
P. Rabinowitz and D. S. Lubinsky

Journal:
Math. Comp. **53** (1989), 279-295

MSC:
Primary 41A55; Secondary 65D30

DOI:
https://doi.org/10.1090/S0025-5718-1989-0972372-4

MathSciNet review:
972372

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be an admissible weight on and let be its associated sequence of orthonormal polynomials. We study the convergence of noninterpolatory integration rules for approximating Cauchy principal value integrals

*w*, where

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1989-0972372-4

Keywords:
Cauchy principal values,
numerical integration,
noninterpolatory integration rules,
orthogonal polynomials,
functions of the second kind

Article copyright:
© Copyright 1989
American Mathematical Society