Universal truncation error upper bounds in irregular sampling restoration

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.

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]

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• Universal truncation error upper bounds in sampling restoration

Cited by in corpus (1)

• Average sampling restoration of harmonizable processes