Abstract
In this paper, we consider a Takagi-like function on 2-series field and give its 2-adic derivatives by applying Vladimirov operator. The 2-adic derivatives of Takagi-like function with order 0 < α < 1 exist and show some fractal feature. Furthermore, both box dimension and Hausdorff dimension of the graph of its derivatives are obtained and equal to 1 + α.
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Wu, B. The 2-Adic Derivatives and Fractal Dimension of Takagi-Like Function on 2-Series Field. Fract Calc Appl Anal 23, 875–885 (2020). https://doi.org/10.1515/fca-2020-0044
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DOI: https://doi.org/10.1515/fca-2020-0044