A Gauss quadrature rule for hypersingular integrals
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Date
2007
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Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
ELSEVIER SCIENCE INC.
Series Info
APPLIED MATHEMATICS AND COMPUTATION;186, 2, 1671-1682
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Abstract
We construct a set of polynomials phi(n)(x, t) which are orthogonal with respect to v(x, t) = w(x)/(x - t)(P), t is an element of (a, b), where w(x) is a weight function and p is an integer. As an application these polynomials can be used to extract Gaussian quadrature rules for hypersingular integrals. (c) 2006 Elsevier Inc. All rights reserved.
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Keywords
University of Orthogonal Polynomials