Incomplete Padé approximation and convergence of row sequences of Hermite�Padé approximants

• Autores: Junot Cacoq, Bernardo de la Calle Ysern , Guillermo Tomás López Lagomasino
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 170, Nº 1, 2013, págs. 59-77
• Idioma: inglés
• DOI: 10.1016/j.jat.2012.05.005
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• Resumen

  • We give a Montessus de Ballore type theorem for row sequences of Hermite�Pad´e approximations of vector valued analytic functions refining some results in this direction due to P.R. Graves-Morris and E.B. Saff.We do this introducing the notion of incomplete Pad´e approximation which contains, in particular, simultaneous Pad´e approximation and may be applied in the study of other systems of approximants as well.