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• W2021969763 abstract "We consider error estimates for interpolation by a special class of compactly supported radial basis functions. These functions consist of a univariate polynomial within their support and are of minimal degree depending on space dimension and smoothness. Their associated “native” Hilbert spaces are shown to be norm-equivalent to Sobolev spaces. Thus we can derive approximation orders for functions from Sobolev spaces which are comparable to those of thin-plate-spline interpolation. Finally, we investigate the numerical stability of the interpolation process." @default.
• W2021969763 created "2016-06-24" @default.
• W2021969763 creator A5066096555 @default.
• W2021969763 date "1998-05-01" @default.
• W2021969763 modified "2023-09-29" @default.
• W2021969763 title "Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree" @default.
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• W2021969763 doi "https://doi.org/10.1006/jath.1997.3137" @default.
• W2021969763 hasPublicationYear "1998" @default.
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