Pointwise approximation with quasi-interpolation by radial basis functions

DOI10.1016/j.jat.2014.11.005zbMath1312.41005OpenAlexW2023606182MaRDI QIDQ2256616

Feng Dai, Martin D. Buhmann

Publication date: 20 February 2015

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

Full work available at URL: https://doi.org/10.1016/j.jat.2014.11.005

zbMATH Keywords

radial basis functionsquasi-interpolationconvergence estimates

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Simultaneous approximation (41A28) Approximation by other special function classes (41A30)

Related Items (14)

Uniform approximation by multivariate quasi-projection operators ⋮ Convergence estimates for stationary radial basis function interpolation and for semi-discrete collocation-schemes ⋮ Error bounds for multiquadrics without added constants ⋮ Cardinal interpolation with general multiquadrics: convergence rates ⋮ Approximation by periodic multivariate quasi-projection operators ⋮ An iterated quasi-interpolation approach for derivative approximation ⋮ Constructing radial kernels with higher-order generalized Strang-Fix conditions ⋮ A kernel-based discretisation method for first order partial differential equations ⋮ Multivariate Monte Carlo Approximation Based on Scattered Data ⋮ On the convergence of cardinal interpolation by parameterized radial basis functions ⋮ Approximation by multivariate quasi-projection operators and Fourier multipliers ⋮ Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective ⋮ Weighted quasi-interpolant spline approximations: properties and applications ⋮ Pólya-type criteria for conditional strict positive definiteness of functions on spheres

Uses Software

• DLMF

Cites Work

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