New Bounds for Truncation-type Errors on Regular Sampling Expansions
نویسنده
چکیده
We give some new estimates for the Truncation Error of sampling series of functions on regular sampling subspaces of L2(R). These estimates lower the well known Jagerman’s bound on Shannon’s sampling expansions. Mathematics Subject Classification: 41A17, 41A80, 65G99.
منابع مشابه
Universal truncation error upper bounds in sampling restoration
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 q π,d , q > 1, d ∈ 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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