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IMA Journal of Numerical Analysis Advance Access published online on December 26, 2008
IMA Journal of Numerical Analysis, doi:10.1093/imanum/drn082
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© The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Lebesgue constants for Leja points

Rodney Taylor{dagger}

Department of Mathematics, University of South Florida, 4202 East Fowler Avenue, PHY 204, Tampa, FL 33620-5700, USA

Vilmos Totik{ddagger}

Bolyai Institute, Analysis Research Group of the Hungarian Academy os Sciences, University of Szeged, Szeged, Aradi v. tere 1, 6720 Hungary and Department of Mathematics, University of South Florida, 4202 East Fowler Avenue, PHY 204, Tampa, FL 33620-5700, USA

{dagger} Email: rtaylor2{at}helios.acomp.usf.edu

{ddagger} Corresponding author. Email: totik{at}math.usf.edu

Received on 2 August 2008. Accepted for publication 3 November 2008.


  Abstract

It is shown that for many compact sets in the plane, the Lebesgue constant of interpolation in the first n Leja points cannot grow exponentially in n. This gives a theoretical foundation for the use of Leja points in interpolation.

Key Words: Lebesgue constants; Leja points; interpolation


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