On certain symmetric strong distributions, two-point Pade approximation and related quadratures

被引：1
|
作者：
Diaz-Mendoza, C. [1 ]
Gonzalez-Vera, P. [1 ]
Jimenez Paiz, M. [1 ]
Orive, R. [1 ]
机构：
[1] Univ La Laguna, Dept Math Anal, Tenerife, Canary Islands, Spain
来源：
APPLIED NUMERICAL MATHEMATICS | 2009年 / 59卷 / 08期
关键词：
Two-point Pade-type approximation; Strong distributions; Cauchy transform; Orthogonal polynomials; ORTHOGONAL LAURENT POLYNOMIALS; MOMENT PROBLEM; CONVERGENCE; ASYMPTOTICS; RULE;
D O I：
10.1016/j.apnum.2009.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let phi be a c-inversive strong distribution as defined in [A. Sri Ranga, E.X.L. de Andrade, J.H. McCabe, Some consequences of a symmetry in strong distributions. J. Math. Anal. Appl. 193 (1) (1995) 158-168]. In this paper, two-point Pade approximants, both with free and prescribed poles, related to the distribution phi are analyzed. in particular, the existence of c-inversive rational approximants to the Stieltjes transform of phi is studied, in order to make computations in an advantageous way. An application to numerical quadratures is also given. and several examples applying these Gauss-type quadrature formulas in the case of integrands which can be well approximated by Laurent polynomials are displayed, showing better results than the corresponding for the usual Gaussian rules. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：2002 / 2014
页数：13
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