Bypassing dynamical systems: a simple way to get the box-counting dimension of the graph of the Weierstrass function
In the following, bypassing dynamical systems tools, we propose a simple means of computing the box dimension of the graph of the classical Weierstrass function defined, for any real number~$x$, by \[{\mathcal W}(x)= \sum_{n=0}^{+\infty} \lambda^n\,\cos \left ( 2\, \pi\,N_b^n\,x \right),\] where $\...
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| Format: | Article |
| Language: | English |
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Odesa National University of Technology
2018-06-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
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| Online Access: | http:////journals.onaft.edu.ua/index.php/geometry/article/view/1028 |