Convergence of Fourier-Padé approximants for Stieltjes functions

  1. Bello Hernández, M. 1
  2. Mínguez Ceniceros, J. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Canadian Journal of Mathematics

ISSN: 0008-414X

Year of publication: 2006

Volume: 58

Issue: 2

Pages: 249-261

Type: Article

DOI: 10.4153/CJM-2006-010-7 SCOPUS: 2-s2.0-33645346499 WoS: WOS:000236158700002 GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Canadian Journal of Mathematics

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Abstract

We prove convergence of diagonal multipoint Pad\'e approximants of Stieltjes-type functions when a certain moment problem is determinate. This is used for the study of the convergence of Fourier--Pad\'e and nonlinear Fourier--Pad\'e approximants for such type of functions.