Frobenius–Padé approximants of piecewise analytic functions II

We prove the convergence of the Frobenius–Padé approximants for a class of piecewise analytic functions which includes |x|α with 0<α<2. The measures considered for the expansions are symmetric in [−1,1]. © 2017 Elsevier Inc.

Bibliographic Details
Author: Bello-Hernández, M. [0000-0002-1833-4688]
Format: Article
Status:Accepted version
Publication date:2017
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/5bbc6947b750603269e8185d
Online Access:https://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185d
Access Level:Open access
Keyword:Orthogonal polynomials
Padé approximation
Rational approximation
Varying measure
Description
Summary:We prove the convergence of the Frobenius–Padé approximants for a class of piecewise analytic functions which includes |x|α with 0<α<2. The measures considered for the expansions are symmetric in [−1,1]. © 2017 Elsevier Inc.