engleski

Convergence rate in multidimensional irregular sampling restoration

New magnitude of truncation error upper bound and convergence rate are obtained for 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 ; Truncation error upper bound ; Irregular sampling ; Multidimensional sampling ; Convergence rate.

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