General results on the convergence of multipoint Hermite-Padé approximants of Nikishin systems

DOI10.1007/s00365-006-0630-yzbMath1105.30024OpenAlexW1995728982MaRDI QIDQ854988

U. Fidalgo Prieto, Guillermo López Lagomasino

Publication date: 20 December 2006

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-006-0630-y

zbMATH Keywords

convergenceNikishin systemHermite-Padé approximation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10)

Related Items (12)

An introduction to multiple orthogonal polynomials and Hermite-Padé approximation ⋮ Convergence and computation of simultaneous rational quadrature formulas ⋮ Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation ⋮ Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials ⋮ On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions ⋮ Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II ⋮ Nikishin systems are perfect ⋮ On the convergence of type I Hermite-Padé approximants ⋮ Nikishin systems are perfect. The case of unbounded and touching supports ⋮ Generalized Hermite-Padé approximation for Nikishin systems of three functions ⋮ Multiple orthogonal polynomials on the unit circle. Normality and recurrence relations ⋮ On the convergence of type I Hermite-Padé approximants for rational perturbations of a Nikishin system

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