A note on the Gaussian cardinal-interpolation operator

DOI10.1017/S0013091500023506zbMath0877.41003MaRDI QIDQ4343103

N. Sivakumar

Publication date: 3 July 1997

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Gaussian cardinal interpolation operator

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (8)

Regular families of kernels for nonlinear approximation ⋮ Cardinal interpolation with general multiquadrics: convergence rates ⋮ Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels ⋮ Cardinal interpolation with Gaussian kernels ⋮ Approximation rates for interpolation of Sobolev functions via Gaussians and allied functions ⋮ On cardinal interpolation by Gaussian radial-basis functions: Properties of fundamental functions and estimates for Lebesgue constants ⋮ Stability and Robustness of RBF Interpolation ⋮ On the convergence of regular families of cardinal interpolators

Cites Work

• The Lebesgue constants for cardinal spline interpolation
• Norm estimates for inverses of Toeplitz distance matrices
• Multivariate cardinal interpolation with radial-basis functions
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