WIAS Preprint No. 111, (1994)
On approximate approximations using Gaussian kernels
Authors
- Maz´ya, Vladimir
- Schmidt, Gunther
2010 Mathematics Subject Classification
- 41A30 41A63 41A05 65D99
Keywords
- Multivariate approximation, quasi-interpolation, Gaussian kernels
DOI
Abstract
This paper discusses quasi-interpolation and interpolation with Gaussians from a new point of view concerning accuracy in numerical computations. Estimates are obtained showing a high order approximation up to some saturation error negligible in numerical applications. The construction of local high order quasi-interpolation formulas is given.
Appeared in
- IMA J. Numer. Anal., 16 (1996), pp. 13--29
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