Rate of convergence of Hermite-Pade approximants to a Nikishin-type system of analytic functions

• Autores: J. Bustamante
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Nº 1, 1993, pág. 19
• Idioma: inglés
• DOI: 10.1016/0377-0427(93)90130-4
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• Resumen

  • A Nikishin-type system of analytic functions is considered. In 1980, Nikishin proved that if such a system is formed by two functions and the interpolation conditions are equally distributed between them, then convergence of the corresponding Hermite-Padé approximants takes place. We recently extended this result to the case of m functions. Here, we give some estimates on the rate of convergence.