Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels
DOI10.1007/s13324-019-00334-6zbMath1478.42005OpenAlexW2957666497MaRDI QIDQ2285016
Danilo Costarelli, Gianluca Vinti
Publication date: 15 January 2020
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-019-00334-6
sampling Kantorovich series, Fourier transform method, bandlimited kernel, generalized sampling operatorsingular integral, saturation theorem
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Linear operator approximation theory (47A58) Interpolation in approximation theory (41A05) Convolution, factorization for one variable harmonic analysis (42A85) Rate of convergence, degree of approximation (41A25)
Related Items (25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the boundedness of singular integrals in Morrey spaces and its preduals
- Approximation by max-product neural network operators of Kantorovich type
- Sampling theory with average values on the Sierpinski gasket
- Basic relations valid for the Bernstein space \(B^{p}_{\sigma}\) and their extensions to functions from larger spaces with error estimates in terms of their distances from \(B^{p}_{\sigma}\)
- Sufficient conditions for sampling and interpolation on the sphere
- Order of approximation for sampling Kantorovich operators
- Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
- Nonlinear nonnested spline approximation
- Generalised sampling theorem for band-limited functions
- The foundations of fractional calculus in the Mellin transform setting with applications
- Fourier-transform methods in the theory of approximation
- On approximation properties of generalized Kantorovich-type sampling operators
- The sampling theorem and linear prediction in signal analysis
- Irregular sampling theorems and series expansions of band-limited functions
- Differential and falsified sampling expansions
- Some inequalities in classical spaces with mixed norms
- On truncation errors of some generalized Shannon sampling operators
- The max-product generalized sampling operators: convergence and quantitative estimates
- \(L^p\)-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel
- Band-limited scaling and wavelet expansions
- Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes
- Bandlimited Lipschitz functions
- A sampling theory for non-decaying signals
- A new construction of the Clifford-Fourier kernel
- Approximation by multivariate Kantorovich-Kotelnikov operators
- Approximation of discontinuous signals by sampling Kantorovich series
- A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators
- Pointwise and uniform approximation by multivariate neural network operators of the max-product type
- Detection of thermal bridges from thermographic images by means of image processing approximation algorithms
- Approximation Results for a General Class of Kantorovich Type Operators
- Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces
- On pointwise convergence of linear integral operators with homogeneous kernels
- Error estimates for sampling sums based on convolution integrals
- Error analysis in regular and irregular sampling theory
- A Theory for Sampling Signals From a Union of Subspaces
- A characterization of the convergence in variation for the generalized sampling series
- An Inverse Result of Approximation by Sampling Kantorovich Series
- Multivariate sampling-type approximation
This page was built for publication: Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels