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}
}
Comments
16 pages