Pade approximation for a multivariate Markov transform

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:219

Article; Proceedings Paper

Kounchev, Ognyan¹  Render, Hermann² 

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

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

关键词: Markov transform;    pade approximations;    moment problem;    quadrature;    cubature;   

DOI  :  10.1016/j.cam.2007.05.004

来源: Elsevier

【 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.

【 授权许可】

Free