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Calle Ysern, Bernardo De La and Cacoq, Junot and López Lagomasino, Guillermo (2013). Direct and Inverse Results on Row Sequences of Hermite-Pad, Approximants. "Constructive Approximation", v. 38 (n. 1); pp. 133-160. ISSN 0176-4276. https://doi.org/10.1007/s00365-013-9188-0.
Title: | Direct and Inverse Results on Row Sequences of Hermite-Pad, Approximants |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Constructive Approximation |
Date: | 2013 |
ISSN: | 0176-4276 |
Volume: | 38 |
Subjects: | |
Freetext Keywords: | Montessus de Ballore theorem Simultaneous approximation Hermite–Padé approximation Rate of convergence Inverse results |
Faculty: | E.T.S.I. Industriales (UPM) |
Department: | Matemática Aplicada a la Ingeniería Industrial |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of simultaneous rational interpolants with a bounded number of poles. The conditions are expressed in terms of intrinsic properties of the system of functions used to build the approximants. Exact rates of convergence for these denominators and the simultaneous rational approximants are provided.
Item ID: | 25797 |
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DC Identifier: | https://oa.upm.es/25797/ |
OAI Identifier: | oai:oa.upm.es:25797 |
DOI: | 10.1007/s00365-013-9188-0 |
Official URL: | http://link.springer.com/journal/365 |
Deposited by: | Memoria Investigacion |
Deposited on: | 20 Apr 2015 16:45 |
Last Modified: | 10 Nov 2017 14:38 |