A generalization of the exponential sampling series and its approximation properties
Functional Analysis
2016-10-03 v2
Abstract
Here we introduce a generalization of the exponential sampling series of optical physics and establish pointwise and uniform convergence theorem, also in a quantitative form. Moreover we compare the error of approximation for Mellin band-limited functions using both classical and generalized exponential sampling series.
Cite
@article{arxiv.1609.02757,
title = {A generalization of the exponential sampling series and its approximation properties},
author = {Carlo Bardaro and Loris Faina and Ilaria Mantellini},
journal= {arXiv preprint arXiv:1609.02757},
year = {2016}
}
Comments
20 pages and 8 tables