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1. CJM 2006 (vol 58 pp. 249)
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Convergence of Fourier--Padé Approximants for Stieltjes Functions 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 Categories:41A20, 41A21, 44A60 |