engleski

Universal truncation error upper bounds in irregular sampling restoration

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.

Whittaker - Kotel'nikov - Shannon sampling restoration formula; Approximation/interpolation error level; Nikolski\u{;;;;;; \i};;;;;; - Placherel - P\'olya inequality; Truncation error upper bound; Irregular sampling; Multidimensional sampling.

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