## Multivariate interpolation and conditionally positive definite functions. II.(English)Zbl 0859.41004

This paper is a continuation of another of the authors’ paper in Approximation Theory Appl. 4, No. 4, 77-89 (1988; Zbl 0703.41008), which deals with a variational approach to solving scattered data interpolation problems in two or more variables. In particular, in the present paper, the authors use Fourier transforms to give improved descriptions of the basic spaces $$C_h$$ in which the interpolation takes place. In addition, they improve the error bounds given in the earlier paper. In certain cases (including the classical multiquadrics), error estimates of arbitrary order are possible.
Reviewer: L.L.Schumaker

### MSC:

 41A05 Interpolation in approximation theory 41A63 Multidimensional problems 41A15 Spline approximation

Zbl 0703.41008
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