Pade approximation for a multivariate Markov transform

被引：2

作者：

Kounchev, Ognyan ^{[1
]}

Render, Hermann ^{[2
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

[2] Univ La Rioja, Dept Matemat & Computat, Logrono 26004, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 219卷 / 02期

关键词：

Markov transform; pade approximations; moment problem; quadrature; cubature;

D O I：

10.1016/j.cam.2007.05.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Methods of Pade approximation are used to analyse a multivariate Markov transform which has been recently introduced by the authors. The first main result is a characterization of the rationality of the Markov transform via Hankel determinants. The second main result is a cubature formula for a special class of measures. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：416 / 430

页数：15

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