Quantitative estimates for sampling type operators with respect to the Jordan variation
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Publication:2192698
DOI10.4171/RLM/890zbMath1446.41008OpenAlexW3038504050MaRDI QIDQ2192698
Laura Angeloni, Danilo Costarelli, Gianluca Vinti
Publication date: 17 August 2020
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rlm/890
singular integralmodulus of smoothnesssampling Kantorovich seriesgeneralized sampling seriesaveraged-type kernelJordan's variation
Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Sampling theory in information and communication theory (94A20)
Related Items (5)
Approximation by exponential-type polynomials ⋮ Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing ⋮ Approximation properties of mixed sampling-Kantorovich operators ⋮ Quantitative estimates for nonlinear sampling Kantorovich operators ⋮ Convergence of sampling Kantorovich operators in modular spaces with applications
Cites Work
- Unnamed Item
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- Convergence and rate of approximation in \(BV^{\phi}(\mathbb R^N_+)\) for a class of Mellin integral operators
- Nonlinear nonnested spline approximation
- Lipschitz continuous data dependence of sweeping processes in BV spaces
- Absolute continuity and convergence in variation for distributions of functionals of Poisson point measure
- Fourier-transform methods in the theory of approximation
- On the rate of convergence of Bernstein polynomials of functions of bounded variation
- Convergence in variation and rate of approximation for nonlinear integral operators of convolution type
- On approximation properties of generalized Kantorovich-type sampling operators
- On approximation methods generated by Bochner-Riesz kernels
- On convergence in variation of one-dimensional image measures
- On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
- Rate of convergence for the modified Szász-Mirakyan operators on functions of bounded variation
- A general approximation approach for the simultaneous treatment of integral and discrete operators
- On the variation detracting property of operators of Balázs and Szabados
- Inverse results of approximation and the saturation order for the sampling Kantorovich series
- Differential and falsified sampling expansions
- Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants
- Approximation results with respect to multidimensional \(\varphi \)-variation for nonlinear integral operators
- \(L^p\)-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel
- Band-limited scaling and wavelet expansions
- Equivalent definitions of \(BV\) space and of total variation on metric measure spaces
- A study on pointwise approximation by double singular integral operators
- Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels
- Lobachevsky spline functions and interpolation to scattered data
- 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
- A class of spline functions for landmark-based image registration
- Convergence in variation and a characterization of the absolute continuity
- Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces
- Error estimates for sampling sums based on convolution integrals
- Convergence of an Iterative Method for Total Variation Denoising
- Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals
- 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
- Fourier Analysis of the Finite Element Method in Ritz‐Galerkin Theory
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