On the approximation order of principal shift-invariant subspaces of \(L_ p(\mathbb{R}^d)\)
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Publication:1379648
DOI10.1006/jath.1996.3061zbMath0891.41008OpenAlexW1963618955MaRDI QIDQ1379648
Publication date: 25 February 1998
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1996.3061
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Cites Work
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- B-splines from parallelepipeds
- The least solution for the polynomial interpolation problem
- Exponential box splines
- Quasi-interpolation with translates of a function having noncompact support
- Irregular sampling theorems and series expansions of band-limited functions
- Fourier analysis of the approximation power of principal shift-invariant spaces
- Box splines
- An upper bound on the approximation power of principal shift-invariant spaces
- On local and controlled approximation order
- Approximation by multiinteger translates of functions having global support
- Multivariate interpolation in odd-dimensional euclidean spaces using multiquadrics
- Approximation from shift-invariant spaces
- Approximation orders of principal shift-invariant spaces generated by box splines
- Méthode des éléments finis: Une famille d'approximations des espaces de Sobolev par les translatés de p fonctions
- A characterization of the approximation order for multivariate spline spaces
- On the approximation order from certain multivariate spline spaces
- Local Approximation by Certain Spaces of Exponential Polynomials, Approximation Order of Exponential Box Splines, and Related Interpolation Problems
- Controlled Approximation and a Characterization of the Local Approximation Order
- An Order of Convergence for Some Radial Basis Functions
- Approximation by Piecewise Exponentials
- The Approximation Order of Box Spline Spaces
- Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
- Equivalent Norms for Sobolev Spaces
