Approximation by periodic multivariate quasi-projection operators
From MaRDI portal
Publication:2183638
DOI10.1016/j.jmaa.2020.124192zbMath1445.41008arXiv2002.00414OpenAlexW3023859467MaRDI QIDQ2183638
Aleksandr Krivoshein, Yurii S. Kolomoitsev, Maria A. Skopina
Publication date: 27 May 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.00414
best approximationerror of approximationmatrix dilationperiodic quasi-projection operatorsperiodic Strang-Fix conditionsWiener's classes
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Approximation by operators (in particular, by integral operators) (41A35)
Related Items
Approximation properties of periodic multivariate quasi-interpolation operators, Sharp \(L_p\)-error estimates for sampling operators, Sparse grid approximation in weighted Wiener spaces, Approximation by quasi-interpolation operators and Smolyak's algorithm
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multivariate wavelet frames
- Order of approximation for sampling Kantorovich operators
- Approximation by frame-like wavelet systems
- The Wiener algebra of absolutely convergent Fourier integrals: an overview
- Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
- Quasi-interpolation in the Fourier algebra
- On approximation properties of generalized Kantorovich-type sampling operators
- \(C^{2}\) piecewise cubic quasi-interpolants on a 6-direction mesh
- Periodic interpolation on uniform meshes
- Some remarks on trigonometric interpolation on the \(n\)-torus
- A family of spline quasi-interpolants on the sphere
- Differential and falsified sampling expansions
- Order of linear approximation from shift-invariant spaces
- Band-limited scaling and wavelet expansions
- Pointwise approximation with quasi-interpolation by radial basis functions
- Quasi-projection operators with applications to differential-difference expansions
- Approximation by multivariate Kantorovich-Kotelnikov operators
- On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem
- Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm
- Approximation by quasi-projection operators in Besov spaces
- Quasi-projection operators in weighted \(L_p\) spaces
- Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing
- Approximation Results for a General Class of Kantorovich Type Operators
- Multivariate Anisotropic Interpolation on the Torus
- Classical Fourier Analysis
- Interpolation on Uniform Meshes by the Translates of One Function and Related Attenuation Factors
- Quadrature Sums Involving pth Powers of Polynomials
- Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
- A Class of Periodic Function Spaces and Interpolation on Sparse Grids
- Sampling-50 years after Shannon
- Convergence rates of cascade algorithms
- Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
- Approximation by sampling‐type operators in Lp‐spaces
- Multivariate sampling-type approximation
- Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\)