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arXiv · 1705.05575

Non-differentiable functions defined in terms of classical representations of real numbers

Symon Serbenyuk
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Abstract

The present article is devoted to functions from a certain subclass of non-differentiable functions. The arguments and values of considered functions represented by the s-adic representation or the nega-s-adic representation of real numbers. The technique of modeling such functions is the simplest as compared with well-known techniques of modeling non-differentiable functions. In other words, 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.

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Symon Serbenyuk. 2017-05-16. Non-differentiable functions defined in terms of classical representations of real numbers. https://doi.org/10.15407/mag14.02.197

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