Direct and Inverse Results on Row Sequences of Hermite-Pad, Approximants

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.

Description

Title: Direct and Inverse Results on Row Sequences of Hermite-Pad, Approximants
Author/s:
  • Calle Ysern, Bernardo De La
  • Cacoq, Junot
  • López Lagomasino, Guillermo
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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Abstract

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.

More information

Item ID: 25797
DC Identifier: http://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
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