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Zbl 1193.41003
Taylor, Rodney; Totik, Vilmos
Lebesgue constants for Leja points. (English)
[J] IMA J. Numer. Anal. 30, No. 2, 462-486 (2010). ISSN 0272-4979; ISSN 1464-3642/e

It is shown that for compact sets in the plane such that their outer boundary can be written as a finite union of (not necessarily disjoint) $C^2$ (or even $C^{1+\alpha},\alpha>0$) arcs, the Lebesgue constant of interpolation $\Lambda_n$ in the first $n$ Leja points cannot grow exponentially in $n$ ($\Lambda_n^{1/n}\to 1$ as $n\to\infty)$.
[Alexei Lukashov (Istanbul)]

MSC 2000:: *41A05 Interpolation
30E10 Approximation in the complex domain

Keywords: Lebesgue constants; Leja points; interpolation

Cited in: Zbl 1224.41005

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