| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5774713 | Journal of Mathematical Analysis and Applications | 2017 | 20 Pages |
Abstract
Approximation properties of multivariate Kantorovich-Kotelnikov type operators generated by different band-limited functions are studied. In particular, a wide class of functions with discontinuous Fourier transform is considered. The Lp-rate of convergence for these operators is given in terms of the classical moduli of smoothness. Several examples of the Kantorovich-Kotelnikov operators generated by the sinc-function and its linear combinations are provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yu. Kolomoitsev, M. Skopina,