English

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

Classical Analysis and ODEs 2018-09-06 v1

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.

Keywords

Cite

@article{arxiv.1705.05575,
  title  = {Non-differentiable functions defined in terms of classical representations of real numbers},
  author = {Symon Serbenyuk},
  journal= {arXiv preprint arXiv:1705.05575},
  year   = {2018}
}

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16 pages