Direct and inverse results on row sequences of simultaneous rational approximants

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

Universidad de defensa: Universidad Carlos III de Madrid

Fecha de defensa: 15 de octubre de 2012

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

Tipo: Tesis

Teseo: 326508 DIALNET lock_opene-Archivo editor

Resumen

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. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------