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Annali di Matematica Pura ed Applicata

, Volume 191, Issue 1, pp 53–75 | Cite as

Pseudo Leja sequences

  • Leokadia Białas-CieżEmail author
  • Jean-Paul Calvi
Open Access
Article

Abstract

We study pseudo Leja sequences attached to a compact set in the complex plane. The requirements are weaker than those of ordinary Leja sequences, but these sequences still provide excellent points for interpolation of analytic functions and their computation is much easier. We also apply them to the construction of excellent sets of nodes for multivariate interpolation of analytic functions on product sets.

Keywords

Leja sequences Equilibrium measure Lagrange interpolation Markov inequality Alper smooth curves (Weakly) admissible meshes 

Mathematics Subject Classification (2000)

41A05 41A63 65E05 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2010

Authors and Affiliations

  1. 1.Institute of MathematicsJagiellonian UniversityKrakówPoland
  2. 2.Institut de MathématiquesUniversité de Toulouse III and CNRS (UMR 5219)Toulouse Cedex 9France

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