Mathematics and Statistics

Embeddings of Beppo–Levi spaces in Hölder–Zygmund spaces and a new method for radial basis function interpolation error estimates

R.K. Beatson, H.Q. Bui and J. Levesley

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Abstract

The Beppo–Levi native spaces which arise when using polyharmonic splines to interpolate in many space dimensions are embedded in Hölder–Zygmund spaces. Convergence rates for radial basis function interpolation are inferred in some special cases.

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