Direct and inverse results on row sequences of simultaneous rational approximants

  1. Cacoq, Junot
Dirixida por:
  1. Bernardo de la Calle Ysern Director
  2. Guillermo Tomás López Lagomasino Director

Universidade de defensa: Universidad Carlos III de Madrid

Fecha de defensa: 15 de outubro de 2012

Tribunal:
  1. Francisco Marcellán Español Presidente/a
  2. Ramón Angel Orive Rodríguez Secretario
  3. Jeffrey S. Geronimo Vogal
  4. Manuel Bello Hernández Vogal
  5. Dolores Barrios Rolanía Vogal

Tipo: Tese

Teseo: 326508 DIALNET

Resumo

In this Tesis we investigate the approximation of vector functions by vector rational function that generalizes Padé approximants. We consider two types of approximants: the simultaneous Hermite-Padé approximants, which are constructed by mean of interpolation criterion and Fourier-Padé approximants based on Fourier series expansions in terms of a system of orthogonal polynomials. The results obtained in terms of generalize to the vector case results well known for the scalar case due to R. of Montessus of Ballore, A.A. Gonchar, S.P. Suetin, P.R. Graves-Morris, and E. B. Saff. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------