Convergence rate of Padé-type approximants for Stieltjes functions.

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.

Bibliographic Details
Authors: Bello Hernández, M. [0000-0002-1833-4688], Cala Rodríguez, F., Guadalupe, J.J., López Lagomasino, G. [0000-0002-9137-9188]
Format: article
Status:Published version
Publication Date:1998
Country:España
Institution:Universidad de La Rioja (UR)
Repository:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6a1bb750603269e8271d
Online Access:https://investigacion.unirioja.es/documentos/5bbc6a1bb750603269e8271d
Access Level:Open access
Keyword:Orthogonal polynomials
Padé-type approximation
Description
Summary: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.