Convergence rate of Padé-type approximants for Stieltjes functions.

  1. Bello Hernández, M. 1
  2. Cala Rodríguez, F. 2
  3. Guadalupe, J.J. 1
  4. López Lagomasino, G. 3
  1. 1 Dpto. de Matemat. y Comp., Univ. de La Rioja, Logroño, Spain
  2. 2 Dpto. de Analisis Matematico, Univ. de La Laguna, Tenerife, Spain
  3. 3 Dpto. de Matemáticas, Univ. Carlos III de Madrid, Madrid, Spain
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Journal:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Year of publication: 1998

Volume: 99

Issue: 1-2

Pages: 47-53

Type: Article

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DOI: 10.1016/S0377-0427(98)00144-7 SCOPUS: 2-s2.0-0038932659 WoS: WOS:000077275700006 DIALNET GOOGLE SCHOLAR

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Abstract

For a wide class of Stieltjes functions we estimate the rate of convergence of Padé-type approximants when the number of fixed poles represents a fixed proportion with respect to the order of the rational approximant. © 1998 Elsevier Science B.V. All rights reserved.