Best interpolation with polynomials lacking the linear term

DOI10.1016/0021-9045(91)90083-MzbMath0738.41005MaRDI QIDQ1174314

Theodore Kilgore

Publication date: 25 June 1992

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

zbMATH Keywords

optimal interpolationincomplete polynomialsBernstein-Erdős conditionscomplete extended \(T\)-systemequi-oscillation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Cites Work

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• Optimal interpolation with incomplete polynomials
• A lower bound on the norm of interpolation with an extended Tchebycheff system
• Optimal interpolation with polynomials having fixed roots
• Optimal interpolation in a general setting - a beginning
• 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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