Convergence of Fourier-Padé approximants for Stieltjes functions
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Universidad de La Rioja
info
ISSN: 0008-414X
Year of publication: 2006
Volume: 58
Issue: 2
Pages: 249-261
Type: Article
More publications in: Canadian Journal of Mathematics
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.