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On the best conditioned bases of quadratic polynomials

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Publication:1881674
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DOI10.1016/j.jat.2004.07.002zbMath1060.41022OpenAlexW2030009906MaRDI QIDQ1881674

Simon Foucart

Publication date: 14 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jat.2004.07.002

zbMATH Keywords

Banach-Mazur distancepolynomial basisbasis condition number


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Banach spaces of continuous, differentiable or analytic functions (46E15) Best constants in approximation theory (41A44)


Related Items

Allometry constants of finite-dimensional spaces: Theory and computations



Cites Work

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  • Minimal generalized interpolation projections
  • A note on the condition numbers of the B-spline bases
  • A practical guide to splines
  • New upper bound for the \(B\)-spline basis condition number II. A proof of de Boor's \(2^k\)-conjecture
  • Determination of a minimal projection fromC[-1, 1 onto the quadratics]
  • Spaces with Large Distance to ℓ n ∞ and Random Matrices
  • The Condition of Polynomials in Power Form
  • Extreme Points of the Unit Ball in a Space of Real Polynomials
  • The Condition of Orthogonal Polynomials
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