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].
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Acknowledgments
This research was partially supported by the Estonian Science Foundation grants 6943 and 7033.
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Kivinukk, A., Tamberg, G. On Blackman-Harris Windows for Shannon Sampling Series. STSIP 6, 87–108 (2007). https://doi.org/10.1007/BF03549465
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DOI: https://doi.org/10.1007/BF03549465