Spaces of distributions, interpolation by translates of a basis function and error estimates

DOI10.1007/s002110050398zbMath0918.65007OpenAlexW1994980973MaRDI QIDQ1277042

William A. Light, Henry Wayne

Publication date: 17 August 1999

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050398

zbMATH Keywords

error estimatesHilbert spacereproducing kernelspaces of distributionschoice of basis functions

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (13)

Function spaces for conditionally positive definite operator-valued kernels ⋮ Density in spaces of interpolation by Hankel translates of a basis function ⋮ The $L_{2}$-approximation order of surface spline interpolation ⋮ Reproducing kernels of generalized Sobolev spaces via a Green function approach with distributional operators ⋮ A scheme for interpolation by Hankel translates of a basis function ⋮ An error analysis for radial basis function interpolation ⋮ Where there's a Will there's a way -- the research of Will Light ⋮ Error estimates for interpolation of rough data using the scattered shifts of a radial basis function ⋮ Recursive Kernels ⋮ A note on the limited stability of surface spline interpolation ⋮ Radial basis function neural networks of Hankel translates as universal approximators ⋮ Embeddings of Beppo--Levi spaces in Hölder--Zygmund spaces, and a new method for radial basis function interpolation error estimates ⋮ Extension theorems for spaces arising from approximation by translates of a basic function

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