Convergence of Fourier-Padé approximants for Stieltjes functions
-
1
Universidad de La Rioja
info
ISSN: 0008-414X
Année de publication: 2006
Volumen: 58
Número: 2
Pages: 249-261
Type: Article
D'autres publications dans: Canadian Journal of Mathematics
Résumé
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.