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Convergence of Fourier--Padé Approximants for Stieltjes Functions |
Canad. J. Math. 58(2006), 249-261
Published:2006-04-01
Printed: Apr 2006
Printed: Apr 2006
- M. Bello Hernández
- J. Mínguez Ceniceros
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.
| Keywords: | rational approximation, multipoint Padé approximants, Fourier--Padé approximants, moment problem |
| MSC Classifications: |
41A20 - Approximation by rational functions 41A21 - Pade approximation 44A60 - Moment problems |