On Montessus de Ballore’s theorem for nonlinear Padé-orthogonal approximants

• Nattapong Bosuwan ^[1]
  1. [1] Mahidol University

     Mahidol University

     Tailandia

     
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 8, Nº. 2, 2016, págs. 151-173
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • A convergence theorem for row sequences of nonlinear Pad´e-orthogonal approximants corresponding to a measure supported on a general compact subset of the complex plane is established. Our result is one of the natural extensions of the theorem of Montessus de Ballore for row sequences of classical Padé approximants