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The optimal dyadic derivative - MaRDI portal

The optimal dyadic derivative (Q901311)

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The optimal dyadic derivative
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    The optimal dyadic derivative (English)
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    8 January 2016
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    This note originates from a question posed by \textit{P. Butzer} and \textit{H. J. Wagner} [Anal. Math. 1, 171--196 (1975; Zbl 0324.42011)]. The author shows 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.
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    difference operators
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    cyclic groups
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    dyadic derivative
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    best approximation
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