Approximation by multivariate Kantorovich-Kotelnikov operators
Classical Analysis and ODEs
2018-11-20 v1
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 -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 -function and its linear combinations are provided.
Cite
@article{arxiv.1811.07329,
title = {Approximation by multivariate Kantorovich-Kotelnikov operators},
author = {Yu. Kolomoitsev and M. Skopina},
journal= {arXiv preprint arXiv:1811.07329},
year = {2018}
}