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Oscillating Tchebycheff systems

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Publication:1161108
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DOI10.1016/0021-9045(81)90043-5zbMath0478.41020OpenAlexW2021635692MaRDI QIDQ1161108

Henry L. Loeb, Richard B. Barrar

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90043-5


zbMATH Keywords

best uniform approximation


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)


Related Items (4)

A note on the optimal recovery of functions in \(H^{\infty}\) ⋮ The optimal \(L_ 1\) problem for generalized polynomial monosplines and a related problem ⋮ Generalized polynomials of minimal norm ⋮ Generalized monosplines and optimal approximation



Cites Work

  • Unnamed Item
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  • A generalization of Chebyshev polynomials
  • On the uniqueness of the best uniform extended totally positive monospline
  • Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
  • A differential equation approach to interpolation at extremal points


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