Approximation of the Hilbert Transform on the real semiaxis using Laguerre zeros

被引：17

作者：

De Bonis, MC

Della Vecchia, B

Mastroianni, G

机构：

[1] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy

[2] Univ Roma La Sapienza, Ist G Castelnuovo, Dipartimento Matemat, I-00185 Rome, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 140卷 / 1-2期

关键词：

Hilbert transform; orthonormal polynomials; Gaussian quadrature rules; product quadrature rules;

D O I：

10.1016/S0377-0427(01)00529-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors propose two new algorithms for the computation of Cauchy principal value integrals on the real semiaxis. The proposed quadrature rules use zeros of Laguerre polynomials. Theoretical error estimates are proved and some numerical examples are showed. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：209 / 229

页数：21

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