Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in \(L^p\)-spaces
DOI10.1007/s00041-022-09943-5zbMath1505.41012OpenAlexW4280516354WikidataQ114231681 ScholiaQ114231681MaRDI QIDQ2143113
Danilo Costarelli, Gianluca Vinti
Publication date: 30 May 2022
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-022-09943-5
singular integralasymptotic expansioninverse resultsbandlimited functionsaturation orderFavard classesgeneralized sampling seriessampling Kantorovich operator
Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Sampling theory in information and communication theory (94A20)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- A note on rate of convergence of double singular integral operators
- Asymptotic formulae for linear combinations of generalized sampling operators
- 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 \(B^{p}_{\sigma}\)
- A unifying approach to convergence of linear sampling type operators in Orlicz spaces
- Fourier-transform methods in the theory of approximation
- Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)
- Approximation properties of periodic multivariate quasi-interpolation operators
- On approximation properties of generalized Kantorovich-type sampling operators
- On approximation methods generated by Bochner-Riesz kernels
- The sampling theorem and linear prediction in signal analysis
- Approximation of continuous and discontinuous functions by generalized sampling series
- An elementary proof of the inverse theorem for Bernstein polynomials
- Irregular sampling theorems and series expansions of band-limited functions
- Saturation of bounded linear operators
- An elementary approach to inverse approximation theorems
- Inverse results of approximation and the saturation order for the sampling Kantorovich series
- Differential and falsified sampling expansions
- On the fast Fourier transform of functions with singularities
- Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series
- Approximation by multivariate quasi-projection operators and Fourier multipliers
- Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels
- A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods
- Approximate support recovery of atomic line spectral estimation: a tale of resolution and precision
- A sampling theory for non-decaying signals
- A new construction of the Clifford-Fourier kernel
- Approximation by multivariate Kantorovich-Kotelnikov operators
- On the approximation and saturation by general singular integrals
- Quasi-projection operators in weighted \(L_p\) spaces
- Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
- A segmentation procedure of the pervious area of the aorta artery from CT images without contrast medium
- Classical Fourier Analysis
- Fourier Analysis and Its Applications
- Approximation by boolean sums of positive linear operators III: Estimates for some numerical approximation schemes
- Pointwise Convergence of Bochner–Riesz Means in Sobolev Spaces
- A characterization of the convergence in variation for the generalized sampling series
- Approximation by sampling‐type operators in Lp‐spaces
- An Inverse Result of Approximation by Sampling Kantorovich Series
- Reconstruction of signals inLp(ℝ)-space by generalized sampling series based on linear combinations ofB-splines†
This page was built for publication: Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in \(L^p\)-spaces
