A bound on the approximation order of surface splines

Constructive Approximation

Volumn 14, Issue 3, 1998, Pages 429-438

  Johnson, M J ^a  

^a KUWAIT UNIVERSITY   (Kuwait)

Author keywords

Approximation Order; Interpolation; Radial Basis Function

Indexed keywords

EID: 0032397254     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900082     Document Type: Article

References (12)

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3. p,-Approximation orders with scattered centres. In: Wavelets, Images, and Surface Fitting (Chamonix-Mont-Blanc, 1993). Wellesley, MA: A. K. Peters, pp. 93-112.
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9. M. J. D. POWELL (1992): The theory of radial basis function approximation in 1990. In: Advances in Numerical Analysis II: Wavelets, Subdivision, and Radial Functions (W. A. Light, ed.). Oxford: Oxford University Press, pp. 105-210.
10. M. J. D. POWELL (1994): The uniform convergence of thin plate spline interpolation in two dimensions. Numer. Math., 68:107-128.
11. R. SCHABACK (1996): Approximation by radial basis functions with finitely many centers. Constr. Approx., 12:331-340.
12. Z. WU, R. SCHABACK (1993): Local error estimates for radial basis function interpolation of scattered data. IMA J. Numer. Anal., 13:13-27.