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arxiv: 1307.3346 · v1 · pith:DPQRCZLKnew · submitted 2013-07-12 · 💻 cs.IT · math.IT

Universal truncation error upper bounds in sampling restoration

classification 💻 cs.IT math.IT
keywords samplingboundserrorfunctionsrestorationtruncationuniversalupper
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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.

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