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Convergence of Fourier--Padé Approximants for Stieltjes Functions

  Published:2006-04-01
 Printed: Apr 2006
  • M. Bello Hernández
  • J. Mínguez Ceniceros
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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 rational approximation, multipoint Padé approximants, Fourier--Padé approximants, moment problem
MSC Classifications: 41A20, 41A21, 44A60 show english descriptions Approximation by rational functions
Pade approximation
Moment problems
41A20 - Approximation by rational functions
41A21 - Pade approximation
44A60 - Moment problems
 

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