The Optimal Dyadic Derivative
Classical Analysis and ODEs
2013-12-17 v1 Functional Analysis
Abstract
We show that the best approximation to the difference operators on the cyclic groups of order 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.
Cite
@article{arxiv.1312.4335,
title = {The Optimal Dyadic Derivative},
author = {Andreas Klotz},
journal= {arXiv preprint arXiv:1312.4335},
year = {2013}
}