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On the nonuniqueness of monosplines with least L\(_2\)-norm

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Publication:1846566
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DOI10.1016/0021-9045(74)90061-6zbMath0288.41003OpenAlexW2061781757MaRDI QIDQ1846566

Dietrich Braess

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-9045(74)90061-6



Mathematics Subject Classification ID

Spline approximation (41A15) Approximate quadratures (41A55)


Related Items (7)

Unicity of Best Mean Approximation by Second Order Splines with Variable Knots ⋮ Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines ⋮ On rational \(L_2\)-Approximation ⋮ Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines ⋮ On the uniqueness of monosplines and perfect splines of least L//1- and L//2-norm ⋮ A review of the parameter estimation problem of fitting positive exponential sums to empirical data ⋮ Nonuniqueness of best Lp-approximation for generalized convex functions by splines with free knots



Cites Work

  • Unnamed Item
  • Rationale Interpolation, Normalität und Monosplines
  • Chebyshev approximation by \(\gamma\)-polynomials. I
  • Analytic extended monosplines
  • On a class of best nonlinear approximation problems


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