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The upper bound of box dimension of the Weyl-Marchaud derivative of self-affine curves
Authors:Yao Kui  Weiyi Su  Yongshun Liang
Institution:[1]PLA University of Science and Technology, China/Chuzhou University, China [2]Nanjing University, China [3]Nanjing University of Science and Technology, China
Abstract:A certain type of self-affine curves can be transferred into fractal functions. The upper bound of fractal dimensions of the Weyl-Marchaud derivative of these functions has been investigated, and further questions have been put forwarded.
Keywords:self-affine curve  Weyl-Marchaud derivative  fractal dimension  
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