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- Will Light, Henry Wayne
- 1998

This paper discusses approximation errors for interpolation in a variational setting which may be obtained from the analysis given by Golomb and Weinberger. We show how this analysis may be used to derive the power function estimate of the error as introduced by Schaback and Powell. A simple error tool for the power function is presented, which is similar… (More)

- Will Light, Henry Wayne
- 1995

This paper considers the problem of error estimates for interpolation by radial basis functions. To this end, a recap of the theory of bounding linear functionals in Hilbert spaces is presented. We begin with a normed linear space X. is known. With this data, we wish to compute (f) where is another linear functional on X. By taking a set of distinct points… (More)

- Will Light, Henry Wayne
- Numerische Mathematik
- 1999

- Will Light, Henry Wayne
- 1997

Interpolation with translates of a basis function is a common process in approximation theory. One starts with a single function (the basis function) and a set of interpolation points. The most elementary form of the interpolant then consists of a linear combination of all translates by interpolation points of the basis function. Frequently , low degree… (More)

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