Title
Universal truncation error upper bounds in sampling restoration.
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 $B_{\pi,d}^q,\, q>1,\, d\in \mathbb N$, 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.
Year
DOI
Venue
2013
10.1515/gmj.2010.033
Georgian Mathematical Journal
Field
DocType
Volume
Truncation error,Topology,Sinc function,Mathematical analysis,Sampling (statistics),Multidimensional sampling,Mathematics,Pointwise
Journal
abs/1307.3346
ISSN
Citations 
PageRank 
Georgian Mathematical Journal. Vol.17, No. 4. (2010), 765--786
3
0.76
References 
Authors
1
2
Name
Order
Citations
PageRank
Andriy Olenko193.19
Tibor Pogány23213.73