Direct and inverse results on row sequences of simultaneous rational approximants
- Cacoq, Junot
- Bernardo de la Calle Ysern Doktorvater/Doktormutter
- Guillermo Tomás López Lagomasino Doktorvater/Doktormutter
Universität der Verteidigung: Universidad Carlos III de Madrid
Fecha de defensa: 15 von Oktober von 2012
- Francisco Marcellán Español Präsident/in
- Ramón Angel Orive Rodríguez Sekretär
- Jeffrey S. Geronimo Vocal
- Manuel Bello Hernández Vocal
- Dolores Barrios Rolanía Vocal
Art: Dissertation
Zusammenfassung
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. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------