Error estimates for approximate approximations with Gaussian kernels on compact intervals

DOI10.1016/J.JAT.2006.08.004zbMath1152.41011OpenAlexW2067671307MaRDI QIDQ880016

Werner Varnhorn, Frank Müller

Publication date: 10 May 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.08.004

zbMATH Keywords

error estimatesGaussian kernelsapproximate approximations

Mathematics Subject Classification ID

Numerical interpolation (65D05) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (7)

Error estimates for the modified truncations of approximate approximation with Gaussian kernels ⋮ Multilevel quasi-interpolation on a sparse grid with the Gaussian ⋮ Approximate solutions and error estimates for a Stokes boundary value problem ⋮ Error estimates of quasi-interpolation and its derivatives ⋮ On approximation and numerical solution of Fredholm integral equations of second kind using quasi-interpolation ⋮ Global errors for approximate approximations with Gaussian kernels on compact intervals ⋮ Spherical scattered data quasi-interpolation by Gaussian radial basis function

Cites Work

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• ``Approximate approximations and the cubature of potentials
• On the computation of multi-dimensional single layer harmonic potentials via approximate approximations
• On approximate approximations using Gaussian kernels
• On quasi-interpolation with non-uniformly distributed centers on domains and manifolds

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