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

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.

16 pages

References in corpus (1)

• On one nearly everywhere continuous and nowhere differentiable function, that defined by automaton with finite memory

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