Direct and inverse results on row sequences of simultaneous rational approximants

• Autores: Junot Cacoq
• Directores de la Tesis: Bernardo de la Calle Ysern (dir. tes.), Guillermo Tomás López Lagomasino (dir. tes.)
• Lectura: En la Universidad Carlos III de Madrid ( España ) en 2012
• Idioma: inglés
• Tribunal Calificador de la Tesis: Francisco Marcellán Español (presid.), Ramón Angel Orive Rodríguez (secret.), Manuel Bello Hernández (voc.), Dolores Barrios Rolanía (voc.), Jeffrey S. Geronimo (voc.)
• Materias:
  • Matemáticas
    • Análisis y análisis funcional
      • Teoría de la aproximación
    • Análisis numérico
      • Interpolación aproximación y ajuste de curvas
• Enlaces
  • Tesis en acceso abierto en: e-Archivo
• 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. ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------