Error estimates for interpolating by thin plate splines under tension.

DOI10.1016/j.crma.2005.12.027zbMath1086.65102OpenAlexW2010150468MaRDI QIDQ817924

Abderrahman Bouhamidi

Publication date: 20 March 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.12.027

zbMATH Keywords

interpolationconvergenceSobolev spaceerror estimatesgeneralized solutionvariational methodhigher order elliptic equation

Mathematics Subject Classification ID

Cites Work

• Estimations de l'erreur d'approximation par splines d'interpolation et d'adjustement d'ordre (m,s). (Approximation error estimates for interpolating and smoothing (m,s)-splines)
• Thin plate splines with tension
• Convergence and error estimates for \((m,l,s)\)-splines
• Multivariate interpolating \((m,\ell,s)\)-splines
• Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
• An Interpolation Curve Using a Spline in Tension
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