Universal truncation error upper bounds in sampling restoration
Information Theory
2013-07-15 v1 math.IT
Abstract
Universal (pointwise uniform and time shifted) truncation error upper bounds are presented for the Whittaker--Kotel'nikov--Shannon (WKS) sampling restoration sum for Bernstein function classes , when the decay rate of the sampled functions is unknown. The case of regular sampling is discussed. Extremal properties of related series of sinc functions are investigated.
Keywords
Cite
@article{arxiv.1307.3346,
title = {Universal truncation error upper bounds in sampling restoration},
author = {Andriy Olenko and Tibor K. Pogány},
journal= {arXiv preprint arXiv:1307.3346},
year = {2013}
}
Comments
18 pages, 2 figures. This is an Author's Accepted Manuscript of an article published in the Georgian Mathematical Journal. Vol.17, No. 4. (2010), 765-786. The final publication is available at De Gruyter. DOI: 10.1515/gmj.2010.033