Approximation by sampling Kantorovich series in weighted spaces of functions
From MaRDI portal
Publication:5045135
DOI10.55730/1300-0098.3293OpenAlexW4295066054MaRDI QIDQ5045135
Metin Turgay, Ali Aral, Osman Alagoz, Gianluca Vinti, Tuncer Acar, Danilo Costarelli
Publication date: 4 November 2022
Published in: Turkish Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.55730/1300-0098.3293
asymptotic formulasweighted approximationsampling Kantorovich operatorspointwise and uniform convergencegeneralized sampling series
Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)
Related Items (6)
A fast converging sampling operator ⋮ Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions ⋮ Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces ⋮ Approximation results for Hadamard-type exponential sampling Kantorovich series ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ Integral Baskakov type operator with quadratic order of approximation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The new forms of Voronovskaya's theorem in weighted spaces
- Asymptotic formulae for multivariate Kantorovich type generalized sampling series
- Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
- On approximation properties of generalized Kantorovich-type sampling operators
- Theorems of Korovkin type
- Inverse results of approximation and the saturation order for the sampling Kantorovich series
- On truncation errors of some generalized Shannon sampling operators
- Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators
- Convergence of generalized sampling series in weighted spaces
- Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series
- Voronovskaya type results for Bernstein-Chlodovsky operators preserving \(e^{-2 x}\)
- Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels
- On Bernstein-Chlodovsky operators preserving \(e^{-2x} \)
- Approximation of discontinuous signals by sampling Kantorovich series
- Approximation by generalized Shannon sampling operators generated by band‐limited kernels
- A characterization of the convergence in variation for the generalized sampling series
- Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
This page was built for publication: Approximation by sampling Kantorovich series in weighted spaces of functions
