Note on admissible meshes on ball and simplex via Dubiner metric

DOI10.14658/PUPJ-DRNA-2024-3-11zbMATH Open1548.41028MaRDI QIDQ6632491

Leokadia Białas-Cież, Mateusz Suder

Publication date: 4 November 2024

Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)

zbMATH Keywords

covering radiusChebyshev nodesadmissible meshDubiner distanceWaldron points

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Mathematical programming (90C99) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Cites Work

• A note on total degree polynomial optimization by Chebyshev grids
• Radial orthogonality and Lebesgue constants on the disk
• Uniform approximation by discrete least squares polynomials
• Pseudometrics, distances and multivariate polynomial inequalities
• The theory of multi-dimensional polynomial approximation
• Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies
• A Comparison of Popular Point Configurations on $\mathbb{S}^2$
• Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex, and ball

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