Optimal interpolation with incomplete polynomials

DOI10.1016/0021-9045(84)90102-3zbMath0566.41003OpenAlexW2041739426MaRDI QIDQ1059240

Theodore Kilgore

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90102-3

zbMATH Keywords

incomplete polynomialsequi-oscillation conjectures

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items

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 ⋮ Best interpolation with polynomials lacking the linear term ⋮ A minimax problem admitting the equioscillation characterization of Bernstein and Erdös

Cites Work

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• A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm
• A theorem on interpolation in Haar subspaces
• Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
• Optimization of the norm of the Lagrange interpolation operator
• On the Erdös Conjecture Concerning Minimal Norm Interpolation on the Unit Circle
• Some remarks on polynomials

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