Directional Chebyshev constants on the boundary

Journal article

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

Authors: Bloom, T; Levenberg, N

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Institute of Mathematics
• Journal: Annales Polonici Mathematici
• Volume: 134
• Issue: 1
• Pages: 49-65
• Publication date: 2025-01-01
• DOI: 10.4064/ap240917-3-5
• EISSN: 1730-6272
• ISSN: 0066-2216
• Language: English
• Keywords: Orthogonal polynomials; Chebyshev iteration; Mathematics; Chebyshev pseudospectral method; Chebyshev polynomials; Chebyshev filter; Classical orthogonal polynomials; Boundary (topology); Mathematical analysis; Chebyshev equation; Chebyshev nodes