A note on functions with interlacing roots

DOI10.1016/0021-9045(85)90144-3zbMath0593.41002OpenAlexW2048877435MaRDI QIDQ1076261

Theodore Kilgore

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90144-3

zbMATH Keywords

optimal Lagrange interpolationpolynomials with interlacing roots

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (2)

Optimal interpolation with polynomials having fixed roots ⋮ Optimal interpolation with exponentially weighted polynomials on an unbounded interval

Cites Work

• 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

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