Further asymptotic properties of best approximation by splines

DOI10.1016/0021-9045(87)90109-2zbMath0617.41019OpenAlexW2049020275MaRDI QIDQ1821981

Dennis D. Pence

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90109-2

zbMATH Keywords

polynomial splinesvector splines

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Spline approximation (41A15)

Related Items (2)

Best mean approximation by splines satisfying generalized convexity constraints ⋮ Hermite-Birkhoff interpolation and monotone approximation by splines

Cites Work

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• Efficient \(L_2\) approximation by splines
• Piecewise polynomial approximation on optimal meshes
• Approximation by periodic spline interpolants on uniform meshes
• Automatic Curve Fitting Using an Adaptive Local Algorithm
• Uniqueness of the Optimal Nodes of Quadrature Formulae
• Asymptotic Properties of Best $L_p [0,1$ Approximation by Splines]
• Asymptotic properties of best 𝐿₂[0,1 approximation by splines with variable knots]

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