Universal truncation error upper bounds in sampling restoration (CROSBI ID 151081)
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Olenko, Andriy ; Poganj, Tibor
engleski
Universal truncation error upper bounds in sampling restoration
Universal (pointwise uniform and time shifted) truncation error upper boundsare 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.
Whittaker-Kotel'nikov-Shannon sampling restoration formula ; Approximation/interpolation error level ; Plancherel-P\'olya inequality ; Bernstein function class ; Regular sampling theorem ; Truncation error upper bound ; Multidimensional sampling ; sinc functions ; Incomplete Lambda function
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Matematika, Tehnologija prometa i transport