Weighted splines as optimal interpolants

DOI10.1216/rmjm/1181072762zbMath0761.41014OpenAlexW2082994152MaRDI QIDQ1201220

Kȩstutis Šalkauskas, L. P. Bos

Publication date: 17 January 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072762

zbMATH Keywords

weight functioncubic splinesoptimal interpolantsweighted splines

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (6)

CALCULATION OF THE SMOOTHING SPLINE WITH WEIGHTED ROUGHNESS MEASURE ⋮ Pseudo-tensor product interpolation and blending with families of univariate schemes ⋮ A shape-preserving approximation by weighted cubic splines ⋮ Discrete weighted cubic splines ⋮ Monotone and convex interpolation by weighted cubic splines ⋮ Limits of weighted splines based on piecewise constant weight functions

Cites Work

• \(C^ 1\) splines for interpolation of rapidly varying data
• Local control of interval tension using weighted splines
• A practical guide to splines
• On the Computation of Nonlinear Spline Functions

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