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The theory of radial basis function approximation in 1990. (English) Zbl 0787.65005
Advances in numerical analysis. Vol. 2: Wavelets, subdivision algorithms, and radial basis functions, Proc. 4th Summer Sch., Lancaster/UK 1990, 105-210 (1992).
[For the entire collection see Zbl 0744.00036.]
The author considers the function \(\{f(x): x\in \mathbb{R}^ d\}\) which is a real valued function of \(d\) variables approximated by \(\{s(x): x\in\mathbb{R}^ d\}\) via the radial basis function method and surveys its various advantages over the usual piecewise polynomials.

65D15 Algorithms for approximation of functions
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