An error analysis for radial basis function interpolation

DOI10.1007/s00211-004-0543-8zbMath1128.41002OpenAlexW2073466668MaRDI QIDQ704798

Michael J. Johnson

Publication date: 19 January 2005

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-004-0543-8

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (1)

An extension of a bound for functions in Sobolev spaces, with applications to \((m, s)\)-spline interpolation and smoothing

Cites Work

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• Overcoming the boundary effects in surface spline interpolation
• Scattered-Data Interpolation on $\bb R^\protectn$: Error Estimates for Radial Basis and Band-Limited Functions
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• $L_p$-error estimates for ``shifted surface spline interpolation on Sobolev space
• Approximation orders for interpolation by surface splines to rough functions
• Interpolation by polynomials and radial basis functions on spheres

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