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

10.20347/WIAS.PREPRINT.111

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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