论文信息 - Approximation in Lp(Rd) from a space spanned by the scattered shifts of a radial basis function

Approximation in Lp(Rd) from a space spanned by the scattered shifts of a radial basis function

A new multivariate approximation scheme on Rd using scattered translates of the “shifted” surface spline function is developed. The scheme is shown to provide spectral Lp-approximation orders with 1 ≤ p ≤ ∞, i.e., approximation orders that depend on the smoothness of the approximands. In addition, it applies to noisy data as well as noiseless data. A numerical example is presented with a comparison between the new scheme and the surface spline interpolation method.

J. Yoon

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