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.
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页码：416 / 430
页数：15
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