The upper bound of box dimension of the Weyl-Marchaud derivative of self-affine curves |
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| Authors: | Yao Kui Weiyi Su Yongshun Liang |
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| Affiliation: | [1]PLA University of Science and Technology, China/Chuzhou University, China [2]Nanjing University, China [3]Nanjing University of Science and Technology, China |
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| 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. |
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| Keywords: | self-affine curve Weyl-Marchaud derivative fractal dimension |
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