Constrained Spline Smoothing

DOI10.1137/060658746zbMath1175.65024arXiv1403.7983OpenAlexW3100427114MaRDI QIDQ3395082

Dany Leviatan, Kirill A. Kopotun, Andriy Prymak

Publication date: 20 August 2009

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7983

zbMATH Keywords

smoothingsplinesJackson-type estimatespiecewise polynomial functionsminimal defectconstrained spline smoothingconvex spline approximationmonotone spline approximationshape-preserving spline approximation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Approximation with constraints (41A29) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (3)

Three-monotone spline approximation ⋮ Interpolatory pointwise estimates for convex polynomial approximation ⋮ Nearly monotone and nearly convex approximation by smooth splines in \(\mathbb L_p, p>0\)

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