Directional Chebyshev Constants on the Boundary

We prove results on existence of limits in the definition of (weighted) directional Chebyshev constants at all points of the standard simplex \(\Sigma \subset {\bf R}^d\) for (locally) regular compact sets \(K\subset {\bf C}^d\).

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Bibliographic Details
Published in:arXiv.org 2024-08
Main Authors: Bloom, Thomas, Levenberg, Norman
Format: Article
Language:English
Subjects:
Chebyshev approximation
Online Access:Get full text
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Summary:We prove results on existence of limits in the definition of (weighted) directional Chebyshev constants at all points of the standard simplex \(\Sigma \subset {\bf R}^d\) for (locally) regular compact sets \(K\subset {\bf C}^d\).
ISSN:2331-8422