Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
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Publication:489287
DOI10.1216/JIE-2014-26-4-455zbMath1308.41017arXiv1411.2261OpenAlexW2964167009MaRDI QIDQ489287
Danilo Costarelli, Gianluca Vinti
Publication date: 20 January 2015
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.2261
order of approximationOrlicz spacesLipschitz classesirregular samplingmultivariate sampling Kantorovich operators
Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)
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Cites Work
- Approximation results for neural network operators activated by sigmoidal functions
- Multivariate neural network operators with sigmoidal activation functions
- Order of approximation for sampling Kantorovich operators
- A unifying approach to convergence of linear sampling type operators in Orlicz spaces
- The sampling theorem for functions with limited multi-band spectrum. I
- Orlicz spaces and modular spaces
- Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
- Rate of approximation for nonlinear integral operators with application to signal processing
- Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces
- Approximation of continuous and discontinuous functions by generalized sampling series
- A survey on recent results of the mathematical seminar in Perugia, inspired by the work of Professor P. L. Butzer
- Some inclusion theorems for Orlicz and Musielak-Orlicz type spaces
- Interpolation by neural network operators activated by ramp functions
- Convergence of a family of neural network operators of the Kantorovich type
- Approximation by series of sigmoidal functions with applications to neural networks
- Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing
- Approximation Results for a General Class of Kantorovich Type Operators
- A general approximation result for nonlinear integral operators and applications to signal processing*
- On modular spaces
- The Shannon sampling theorem—Its various extensions and applications: A tutorial review
- Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
- A general approach to the convergence theorems of generalized sampling series
- Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
- Applications of sampling Kantorovich operators to thermographic images for seismic engineering
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