Approximation in \(L_p (\mathbb{R}^d)\) from spaces spanned by the perturbed integer translates of a radial function
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Publication:5929846
DOI10.1006/jath.2000.3479zbMath0980.41018OpenAlexW2003817647MaRDI QIDQ5929846
Publication date: 17 April 2001
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.2000.3479
Related Items (3)
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels ⋮ Cardinal interpolation with general multiquadrics: convergence rates ⋮ Approximation using scattered shifts of a multivariate function
Cites Work
- Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
- Irregular sampling theorems and series expansions of band-limited functions
- Fourier analysis of the approximation power of principal shift-invariant spaces
- Error estimates for interpolation by compactly supported radial basis functions of minimal degree
- An upper bound on the approximation power of principal shift-invariant spaces
- On the approximation order of principal shift-invariant subspaces of \(L_ p(\mathbb{R}^d)\)
- On multivariate approximation by integer translates of a basis function
- On quasi-interpolation with radial basis functions
- Multivariate interpolation in odd-dimensional euclidean spaces using multiquadrics
- On quasi-interpolation by radial basis functions with scattered centres
- Approximation by radial basis functions with finitely many centers
- An Order of Convergence for Some Radial Basis Functions
- Local error estimates for radial basis function interpolation of scattered data
- Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
- Spectral convergence of multiquadric interpolation
- Radial Basis Function Approximation: from Gridded Centres to Scattered Centres
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