Directional Chebyshev Constants on the Boundary

2024/08/14 by Thomas Bloom, Bloom, Thomas, Norman Levenberg +1
Mathematics · Social Sciences · #32U20 #Complex Variables (math.CV) #FOS: Mathematics #Historical Geography and Cartography #Point processes and geometric inequalities #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2408.07619

openalex publication_date 2024/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• The mapping of compact into the set of its Chebyshev centres is Lipschitz in the space lⁿ_∞
• Chebyshev constants, transfinite diameter, and computation on complex\n algebraic curves
• Transfinite diameter, Chebyshev constant and energy on locally compact spaces
• Chebyshev Polynomials on a System of Continua
• Chebyshev Sets, Klee Sets, and Chebyshev Centers with respect to Bregman Distances: Recent Results and Open Problems