Rate of Convergence of Generalized Hermite–PadéApproximants of Nikishin Systems

Rate of Convergence of Generalized Hermite–PadéApproximants of Nikishin Systems

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 b...

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Veröffentlicht in:Constructive approximation 2006-01, Vol.23 (2), p.165-196
Hauptverfasser: Fidalgo, Prieto U, López, Lagomasino G
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Convergence
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Zusammenfassung: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.
ISSN:0176-4276
1432-0940
DOI:10.1007/s00365-004-0582-5