Geodesic
Non-differentiable functions defined in terms of classical representations of real numbers
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 14 (2018) no. 2, pp. 197-213 Cet article a éte moissonné depuis la source Math-Net.Ru

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The present paper is devoted to the functions from a certain subclass of non-differentiable functions. The arguments and values of the considered functions are represented by the $s$-adic representation or the nega-$s$-adic representation of real numbers. The technique of modeling these functions is the simplest as compared with the well-known techniques of modeling non-differentiable functions. In other words, the values of these functions are obtained from the $s$-adic or nega-$s$-adic representation of the argument by a certain change of digits or combinations of digits. Integral, fractal and other properties of the functions are described. 
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S. O. Serbenyuk. Non-differentiable functions defined in terms of classical representations of real numbers. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 14 (2018) no. 2, pp. 197-213. http://geodesic.mathdoc.fr/item/JMAG_2018_14_2_a5/

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