Uniform approximation by multivariate quasi-projection operators
DOI10.1007/s13324-022-00665-xzbMath1505.41010arXiv2008.06977OpenAlexW3049612531MaRDI QIDQ2124675
Yurii S. Kolomoitsev, Maria A. Skopina
Publication date: 11 April 2022
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.06977
error estimatebest approximationmoduli of smoothnessquasi-projection operatoranisotropic Besov-type spacerealization of \(K\)-functional
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by other special function classes (41A30) Sampling theory in information and communication theory (94A20)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multivariate wavelet frames
- Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
- The Wiener algebra of absolutely convergent Fourier integrals: an overview
- Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)
- Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
- On approximation properties of generalized Kantorovich-type sampling operators
- Differential and falsified sampling expansions
- Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness
- Approximation by multivariate quasi-projection operators and Fourier multipliers
- Band-limited scaling and wavelet expansions
- Pointwise approximation with quasi-interpolation by radial basis functions
- Quasi-projection operators with applications to differential-difference expansions
- A sampling theory for non-decaying signals
- On weighted conditions for the absolute convergence of Fourier integrals
- 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
- Hardy–Littlewood and Ulyanov inequalities
- On riesz-type inequalities and k-functionals related to riesz potentials in
- Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
- Sampling-50 years after Shannon
- Absolute convergence of multiple Fourier integrals
- Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
- Approximation by sampling‐type operators in Lp‐spaces
- Multivariate sampling-type approximation
- Multiplicative sufficient conditions for Fourier multipliers
- Reconstruction of signals inLp(ℝ)-space by generalized sampling series based on linear combinations ofB-splines†
- Strong converse inequalities
This page was built for publication: Uniform approximation by multivariate quasi-projection operators