Fourier-Padé Approximants for Angelesco System.

We study linear and nonlinear simultaneous Fourier-Pade approximation for Angelesco systems of functions and give the exact rate of convergence/divergence of the approximants in terms of the solution of associated vector equilibrium potential problems which differ for the linear and nonlinear cases....

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Detalles Bibliográficos
Autores: Bello-Hernandez, M. [0000-0002-1833-4688], Lopez-Lagomasino, G. [0000-0002-9137-9188], Minguez-Ceniceros, J. [0000-0002-9840-5772]
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2007
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6a1cb750603269e82734
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6a1cb750603269e82734
Access Level:acceso abierto
Palabra clave:Fourier-Padé approximation
Multipoint Padé approximation
Potential theory
Rational approximation
Descripción
Sumario:We study linear and nonlinear simultaneous Fourier-Pade approximation for Angelesco systems of functions and give the exact rate of convergence/divergence of the approximants in terms of the solution of associated vector equilibrium potential problems which differ for the linear and nonlinear cases. © 2006 Springer.