Multidimensional sampling-Kantorovich operators in \textit{BV}-spaces
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Publication:6049713
DOI10.1515/math-2022-0573MaRDI QIDQ6049713
Gianluca Vinti, Laura Angeloni
Publication date: 15 September 2023
Published in: Open Mathematics (Search for Journal in Brave)
absolute continuityconvergence in variationmultidimensional variationsampling-Kantorovich operatorsaveraged-type kernels
Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)
Cites Work
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- Asymptotic formulae for multivariate Kantorovich type generalized sampling series
- A characterization of absolute continuity by means of Mellin integral operators
- Stancu-Kantorovich operators based on inverse Pólya-Eggenberger distribution
- Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
- Convergence in variation and rate of approximation for nonlinear integral operators of convolution type
- On approximation properties of generalized Kantorovich-type sampling operators
- The sampling theorem and linear prediction in signal analysis
- Approximation of continuous and discontinuous functions by generalized sampling series
- A new concept of multidimensional variation in the sense of Riesz and applications to integral operators
- On convergence of Chlodovsky and Chlodovsky-Kantorovich polynomials in the variation seminorm
- \(L^p\)-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel
- Abstract integration with respect to measures and applications to modular convergence in vector lattice setting
- Multivariate weighted Kantorovich operators
- Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in \(L^p\)-spaces
- Some applications of modular convergence in vector lattice setting
- Variation diminishing-type properties for multivariate sampling Kantorovich operators
- A Kantorovich variant of Lupaş-Stancu operators based on Pólya distribution with error estimation
- Inverse approximation and GBS of bivariate Kantorovich type sampling series
- A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators
- Approximation in variation by the Kantorovich operators
- A segmentation procedure of the pervious area of the aorta artery from CT images without contrast medium
- Approximation with Respect to Goffman–Serrin Variation by Means of Non-Convolution Type Integral Operators
- A sampling theorem for duration-limited functions with error estimates
- Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals
- Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing
- Generalized Sampling Approximation for Multivariate Discontinuous Signals and Applications to Image Processing
- Variation and Approximation in Multidimensional Setting for Mellin Integral Operators
- Bounded Variation and Around
- Generalized Bernstein Kantorovich operators: Voronovskaya type results, convergence in variation
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