Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections

2023/11/11 by Leokadia Białas-Cież, Dimitri Jordan Kenne, Bialas-Ciez, Leokadia +5
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Mathematical functions and polynomials #Numerical Analysis (math.NA) #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.2311.06511

openalex publication_date 2023/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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