Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections
Numerical Analysis
2023-11-14 v1 Numerical Analysis
Abstract
We construct admissible polynomial meshes on piecewise polynomial or trigonometric curves of the complex plane, by mapping univariate Chebyshev points. Such meshes can be used for polynomial least-squares, for the extraction of Fekete-like and Leja-like interpolation sets, and also for the evaluation of their Lebesgue constants.
Keywords
Cite
@article{arxiv.2311.06511,
title = {Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections},
author = {Leokadia Bialas-Ciez and Dimitri Jordan Kenne and Alvise Sommariva and Marco Vianello},
journal= {arXiv preprint arXiv:2311.06511},
year = {2023}
}