Unicity of Best Mean Approximation by Second Order Splines with Variable Knots

DOI10.2307/2006339zbMath0393.41013OpenAlexW4232891916MaRDI QIDQ4175967

Philip W. Smith, Joseph D. Ward, Charles K. Chui, David L. Barrow

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2006339

zbMATH Keywords

Nonlinear Manifold of Second Order SplinesUnicity of Best Approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Uniqueness of best approximation (41A52) Spline approximation (41A15)

Related Items (7)

Unicity in piecewise polynomial 𝐿¹-approximation via an algorithm ⋮ Sufficient conditions for positive definiteness of tridiagonal matrices revisited ⋮ Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines ⋮ Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines ⋮ On the uniqueness of monosplines and perfect splines of least L//1- and L//2-norm ⋮ Analysis of an algorithm for generating locally optimal meshes for 𝐿₂ approximation by discontinuous piecewise polynomials ⋮ On the relationship between functions with the same optimal knots in spline and piecewise polynomial approximation

Cites Work

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• On the nonuniqueness of monosplines with least L\(_2\)-norm
• On the Smoothness of Best L 2 Approximants from Nonlinear Spline Manifolds
• Unicity of best 𝐿₂ approximation by second-order splines with variable knots

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