A Gauss quadrature rule for hypersingular integrals

被引：3
|
作者：
Ashour, S. A.
Ahmed, H. M. [1 ]
机构：
[1] Fac Ind Educ, Dept Math, Cairo, Egypt
[2] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 02期
关键词：
orthogonal polynomials; finite part integrals; Gaussian quadrature rules;
D O I：
10.1016/j.amc.2006.08.075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：1671 / 1682
页数：12
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