A note on the limited stability of surface spline interpolation

DOI10.1016/j.jat.2006.02.004zbMath1102.41008OpenAlexW2026560711MaRDI QIDQ2502876

Michael J. Johnson

Publication date: 13 September 2006

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

Full work available at URL: https://doi.org/10.1016/j.jat.2006.02.004

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (1)

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Cites Work

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• On bounding spline interpolation
• A bound on the approximation order of surface splines
• Spaces of distributions, interpolation by translates of a basis function and error estimates
• The $L_{2}$-approximation order of surface spline interpolation
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
• Scattered-Data Interpolation on $\bb R^\protectn$: Error Estimates for Radial Basis and Band-Limited Functions
• Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
• Approximation orders for interpolation by surface splines to rough functions
• Equivalent Norms for Sobolev Spaces

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