A lower bound on the norm of interpolation with an extended Tchebycheff system

DOI10.1016/0021-9045(86)90032-8zbMath0599.41007OpenAlexW2077706277MaRDI QIDQ1080095

Theodore Kilgore

Publication date: 1986

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90032-8

zbMATH Keywords

Chebyshev systemsexamplesoptimal Lagrange interpolation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05)

Related Items (3)

Optimal interpolation in a general setting - a beginning ⋮ Best interpolation with polynomials lacking the linear term ⋮ A discussion of simultaneous approximation of derivatives by lagrange interpolation

Cites Work

• Unnamed Item
• Optimal interpolation with incomplete polynomials
• Optimal interpolation with polynomials having fixed roots
• A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm
• Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
• Optimization of the norm of the Lagrange interpolation operator
• Some remarks on polynomials

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