On Blackman-Harris windows for Shannon sampling series

Abstract

This 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 2mth modulus of continuity. The sampling operators corresponding to the four-term cosine-sum window functions have values of norms, which can be calculated precisely. This paper is an extension of our previous one [12]. © 2007 Sampling Publishing.