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 Olenko | 1 | 9 | 3.19 |
Tibor Pogány | 2 | 32 | 13.73 |