Optimal interpolation in a general setting - a beginning

DOI10.1016/0021-9045(88)90095-0zbMath0675.41010OpenAlexW2095006400MaRDI QIDQ1122068

Theodore Kilgore

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90095-0

zbMATH Keywords

Erdős conjectureBernstein conjectureKilgore conjectures

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (1)

Best interpolation with polynomials lacking the linear term

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
• 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
• On the Polynomial and Rational Projections in the Complex Plane
• On the Erdös Conjecture Concerning Minimal Norm Interpolation on the Unit Circle
• Some remarks on polynomials

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