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Inverse Theorem on Row Sequences of Linear Padé-orthogonal Approximation

Inverse Theorem on Row Sequences of Linear Padé-orthogonal Approximation We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Padé-orthogonal approximants corresponding to a measure supported on a general compact set in the complex plane. Thereby, we obtain an analog of Gonchar’s theorem on row sequences of Padé approximants. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Inverse Theorem on Row Sequences of Linear Padé-orthogonal Approximation

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References (46)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-015-0121-3
Publisher site
See Article on Publisher Site

Abstract

We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Padé-orthogonal approximants corresponding to a measure supported on a general compact set in the complex plane. Thereby, we obtain an analog of Gonchar’s theorem on row sequences of Padé approximants.

Journal

Computational Methods and Function TheorySpringer Journals

Published: May 15, 2015

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