A modification of the Whittaker-Kotelnikov-Shannon sampling series
From MaRDI portal
Publication:1069074
DOI10.1007/BF02189424zbMath0582.41004OpenAlexW2032264721MaRDI QIDQ1069074
Paul L. Butzer, Rudolf L. Stens
Publication date: 1985
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/137070
Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Information theory (general) (94A15) Inverse theorems in approximation theory (41A27)
Related Items (22)
Lagrange-Sturm-Liouville processes ⋮ On the regularized Whittaker-Kotel’nikov-Shannon sampling formula ⋮ Approximation of continuous and discontinuous functions by generalized sampling series ⋮ Convergence and Regularization of Sampling Series ⋮ Approximation of eigenvalues of Dirac systems with eigenparameter in all boundary conditions by sinc-Gaussian method ⋮ Localization operator based on sampling multipliers ⋮ Approximation by multivariate max-product Kantorovich exponential sampling operators ⋮ Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions ⋮ Numerical algorithms for computing eigenvalues of discontinuous Dirac system using sinc-Gaussian method ⋮ The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem ⋮ Computation of spectral parameter of discontinuous Dirac systems with a Gaussian multiplier ⋮ Approximation of eigenvalues of boundary value problems ⋮ Reconstruction of polyharmonic functions from samples ⋮ Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis ⋮ On divergence of sinc-approximations everywhere on $(0,\pi)$ ⋮ Approximation of eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions ⋮ The limiting behavior of certain sampling series and cardinal splines ⋮ Sinc approximation of eigenvalues of Sturm-Liouville problems with a Gaussian multiplier ⋮ Gaussian regularized periodic nonuniform sampling series ⋮ Optimal learning of bandlimited functions from localized sampling ⋮ Sharp exponential bounds for the Gaussian regularized Whittaker-Kotelnikov-Shannon sampling series ⋮ Numerical differentiation inspired by a formula of R.P. Boas
Cites Work
- A unified approach to certain counterexamples in approximation theory in connection with a uniform boundedness principle with rates
- On measures of information and their characterizations
- Error estimates for sampling sums based on convolution integrals
- Sampling Theorem for the Fourier Transform of a Distribution with Bounded Support
- Bounds for Truncation Error of the Sampling Expansion
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A modification of the Whittaker-Kotelnikov-Shannon sampling series
