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Universal truncation error upper bounds in irregular sampling restoration

Authors :
Tibor K. Pogány
Andriy Olenko
Publication Year :
2013
Publisher :
arXiv, 2013.

Abstract

Universal (pointwise uniform and time shifted) truncation error upper bounds are presented in Whittaker--Kotel'nikov--Shannon (WKS) sampling restoration sum for Bernstein function class $B_{\pi,d}^q\,,\ q \ge 1,$ $d\in \mathbb N\,,$ when the sampled functions decay rate is unknown. The case of multidimensional irregular sampling is discussed.<br />Comment: 13 pages. This is an Author's Accepted Manuscript of an article published in the Applicable Analysis, Vol.90, No. 3-4. (2011), 595--608. [copyright Taylor & Francis], available online at: http://www.tandfonline.com/ [DOI:10.1080/00036810903437754]

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....29ba55a2a8863f6097bbeb8c899b16dc
Full Text :
https://doi.org/10.48550/arxiv.1307.3332