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arXiv · 1312.4335

The Optimal Dyadic Derivative

Andreas Klotz
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Abstract

We show that the best approximation to the difference operators on the cyclic groups of order $2^n$ by a dyadic convolution operator are the restrictions of a generalized dyadic derivative. This answers a question on the "intuitive" interpretation of the dyadic derivative posed by Butzer and Wagner more than 30 years ago.

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Andreas Klotz. 2013-12-16. The Optimal Dyadic Derivative. https://arxiv.org/abs/1312.4335

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