On multivariate approximation by integer translates of a basis function

Author:

Dyn N.,Jackson I. R. H.,Levin D.,Ron A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference20 articles.

1. M. Abramowitz and I. Stegun,A Handbook of Mathematical Functions, Dover, New York, 1970.

2. C. de Boor,The polynomials in the linear span of integer translates of a compactly supported function, Constructive Approximation3 (1987), 199–208.

3. C. de Boor,Quasiinterpolants and approximation power of multivariate splines, inComputation of Curves and Surfaces (M. Gasca and C.A. Micchelli, eds.), Dordrecht, Netherlands: Kluwer Academic Publishers, 1990, pp. 313–345.

4. M.D. Buhmann,Convergence of univariate quasi-interpolation using multiquadrics, IMA J. Num. Anal.8 (1988), 365–384.

5. C. de Boor and R.Q. Jia,Controlled approximation and a characterization of the local approximation order, Proc. Am. Math. Soc.95 (1985), 547–553.

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