Approximation from shift-invariant spaces
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Publication:1897533
DOI10.1007/BF01203413zbMath0826.41013MaRDI QIDQ1897533
Publication date: 4 September 1995
Published in: Constructive Approximation (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Multidimensional problems (41A63) Harmonic analysis in several variables (42B99) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)
Related Items (9)
Quasi-interpolation in the Fourier algebra ⋮ Approximation by quasi-projection operators in Besov spaces ⋮ Cardinal interpolation with general multiquadrics: convergence rates ⋮ On the approximation order of principal shift-invariant subspaces of \(L_ p(\mathbb{R}^d)\) ⋮ On the structure and interpolation properties of quasi shift-invariant spaces ⋮ Approximation with scaled shift-invariant spaces by means of quasi-projection operators ⋮ Weak rate of convergence of the Euler-Maruyama scheme for stochastic differential equations with non-regular drift ⋮ Approximation by translates of a single function of functions in space induced by the convolution with a given function ⋮ On equivalence of moduli of smoothness
Cites Work
- Quasi-interpolation with translates of a function having noncompact support
- Fourier analysis of the approximation power of principal shift-invariant spaces
- On multivariate approximation by integer translates of a basis function
- Approximation by multiinteger translates of functions having global support
- Multivariate interpolation in odd-dimensional euclidean spaces using multiquadrics
- \(H^p\) spaces of several variables
- Multivariate cardinal interpolation with radial-basis functions
- Controlled Approximation and a Characterization of the Local Approximation Order
- A Counterexample to a Result Concerning Controlled Approximation
- Interpolation of Besov Spaces
- An Order of Convergence for Some Radial Basis Functions
- Quantitative Korovkin Theorems for Positive Linear Operators on L p - Spaces
- A characterization of $H^{p}(R^{n})$ in terms of atoms
- A real variable characterization of $H^{p}$
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