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Continuous Nowhere Differentiable Function with Fractal Properties Defined in Terms of Q2-Representation

Authors :
M. V. Pratsiovytyi
S. P. Ratushniak
Source :
Journal of Mathematical Sciences. 258:670-697
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

We construct a continuous nowhere monotone and nondifferentiable function depending on a single parameter q0 ϵ (0; 1). For functions from this continual class, we describe their structural, variational, fractal, and integrodifferential properties.

Details

ISSN :
15738795 and 10723374
Volume :
258
Database :
OpenAIRE
Journal :
Journal of Mathematical Sciences
Accession number :
edsair.doi...........7016d3310a002f892b46ff57edf59550