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Rate of Convergence of Generalized Hermite–Padé Approximants of Nikishin Systems

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Abstract

We study the rate of convergence of interpolating simultaneous rational approximations with partially prescribed poles to so-called Nikishin systems of functions. To this end, a vector equilibrium problem in the presence of a vector external field is solved which is used to describe the asymptotic behavior of the corresponding second-type functions which appear.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad Carlos III de Madrid, c/ Universidad 30, 28911 Leganés, Spain

    U. Fidalgo Prieto & G. López Lagomasino

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  1. U. Fidalgo Prieto
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  2. G. López Lagomasino
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Correspondence to U. Fidalgo Prieto.

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Prieto, U., Lagomasino, G. Rate of Convergence of Generalized Hermite–Padé Approximants of Nikishin Systems. Constr Approx 23, 165–196 (2006). https://doi.org/10.1007/s00365-004-0582-5

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  • DOI: https://doi.org/10.1007/s00365-004-0582-5

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