Convergence of Product Integration Rules for Functions With Interior and Endpoint Singularities Over Bounded and Unbounded Intervals

D. S. Lubinsky, Avram Sidi

Type: Article

Publication Date: 1986-01-01

Citations: 19

DOI: https://doi.org/10.2307/2008228

Abstract

The convergence of product integration rules, based on Gaussian quadrature points, is investigated for functions with interior and endpoint singularities over bounded and unbounded intervals.The investigation is based on a new convergence result for Lagrangian interpolation and Gaussian quadrature of singular integrands.

Locations

Mathematics of Computation - View - PDF

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+	On the convergence of Turán type rules for Cauchy principal value integrals	1991	L. Gori Nicolò-Amati E. Santi
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+ PDF Chat	Product integration over infinite intervals. I. Rules based on the zeros of Hermite polynomials	1983	William E. Smith Ian H. Sloan A. H. Opie
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+	On Markov-Bernstein-type inequalities and their applications	1977	G. Freud
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+	Gaussian Integration in the Presence of a Singularity	1967	Philip Rabinowitz
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