Abstract
AbstractThis paper deals with some approximations by the generalized Shannon sampling series, which are defined by the Blackman‐Harris (or cosine‐sum) window functions. In the case of certain (m + 1)‐term cosine‐sum window functions the order of approximation can be estimated via the 2m ‐th modulus of continuity. Some choices of parameters in Blackman‐Harris window function generate interpolating generalized Shannon sampling series. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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