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

Revista:
Canadian Journal of Mathematics

ISSN: 0008-414X

Any de publicació: 2006

Volum: 58

Número: 2

Pàgines: 249-261

Tipus: Article

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

Altres publicacions en: Canadian Journal of Mathematics

Repositori institucional: lock_openAccés obert Editor lock_openAccés obert Postprint

Resum

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.