Gaussian radial-basis functions: cardinal interpolation of \(\ell^p\) and power-growth data

DOI10.1023/A:1018980110778zbMath0939.41002OpenAlexW1501170677MaRDI QIDQ1966323

N. Sivakumar, Sherman D. Riemenschneider

Publication date: 28 February 2000

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1018980110778

zbMATH Keywords

Fourier transformscardinal interpolationcardinal spline interpolationGaussian radial-basis functions

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (13)

Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels ⋮ Regular families of kernels for nonlinear approximation ⋮ On the sampling and recovery of bandlimited functions via scattered translates of the Gaussian ⋮ Convergence and Regularization of Sampling Series ⋮ Cardinal interpolation with general multiquadrics: convergence rates ⋮ Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels ⋮ Cardinal interpolation with Gaussian kernels ⋮ Convergence and error theorems for Hermite function pseudo-RBFs: interpolation on a finite interval by Gaussian-localized polynomials ⋮ Approximation rates for interpolation of Sobolev functions via Gaussians and allied functions ⋮ Convergence properties of spline-like cardinal interpolation operators acting on \(\ell ^p\) data ⋮ Interpolation by basis functions of different scales and shapes ⋮ On the convergence of regular families of cardinal interpolators ⋮ Interpolation in the limit of increasingly flat radial basis functions

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