A minimax problem admitting the equioscillation characterization of Bernstein and Erdös

DOI10.1006/jath.1997.3135zbMath0903.41013OpenAlexW2089806021MaRDI QIDQ1266091

Ying Guang Shi

Publication date: 7 September 1998

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

Full work available at URL: https://doi.org/10.1006/jath.1997.3135

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Uniqueness of best approximation (41A52)

Related Items (1)

A minimax problem for sums of translates on the torus

Cites Work

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• Optimal interpolation with incomplete polynomials
• Optimal interpolation with polynomials having fixed roots
• A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm
• Optimal interpolation with exponentially weighted polynomials on an unbounded interval
• Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
• Optimal Lebesgue function type sums
• Covering spaces, fibre spaces, and local homeomorphisms
• On the Erdös Conjecture Concerning Minimal Norm Interpolation on the Unit Circle
• Some remarks on polynomials

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