Some new properties of Chebyshev polynomials

DOI10.1016/S0377-0427(00)00271-5zbMath1064.41019MaRDI QIDQ1570990

G. Belforte, Giovanni Monegato, Paolo Gay

Publication date: 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Chebyshev polynomialsInterpolationOptimal nodes

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

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Cites Work

• A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm
• Some new characterizations of the Chebyshev polynomials
• Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
• Introduction to the constructive theory of functions
• Problems and results on the theory of interpolation. I
• Optimal sampling schedule for parameter estimation of linear models with unknown but bounded measurement errors
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