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Convergence of Fourier–Padé Approximants for Stieltjes Functions

Published online by Cambridge University Press:  20 November 2018

M. Bello Hernández  and
J. Mínguez Ceniceros
M. Bello Hernández
Affiliation:
Dpto. de Matemáticas y Computación, Universidad de La Rioja, Edificio J. L. Vives, Luis de Ulloa, s/n, 26004 Logroño Spain e-mail: mbello@dmc.unirioja.esjudit.minguez@dmc.unirioja.es
J. Mínguez Ceniceros
Affiliation:
Dpto. de Matemáticas y Computación, Universidad de La Rioja, Edificio J. L. Vives, Luis de Ulloa, s/n, 26004 Logroño Spain e-mail: mbello@dmc.unirioja.esjudit.minguez@dmc.unirioja.es
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Abstract

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

Keywords

41A2041A2144A60Rational approximationmultipoint Padé approximantsFourier—Padé approximantsmoment problem
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 58 , Issue 2 , 01 April 2006 , pp. 249 - 261
Copyright
Copyright © Canadian Mathematical Society 2006

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