An analogue of the logarithmic $(u,v)$-derivative and its application

Authors

  • R. Y. Osaulenko National Technical University of Ukraine ”Igor Sikorsky Kyiv Polytechnic Institute”, 37 Prosp. Peremohy, Kyiv, 03056, Ukraine

DOI:

https://doi.org/https://doi.org/10.31392/MFAT-npu26_2.2020.09

Keywords:

Derivative, logarithmic $(u, v)$-derivative, singular function, nowhere monotone function

Abstract

We study an analogue of the logarithmic $(u,v)$-derivative. The last one has many interesting properties and good ways to calculate it. To show how it can be used we apply it to a model class of nowhere monotone functions that are composition of Salem function and nowhere differentiable functions.

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Published

2020-06-25

Issue

Vol. 26 No. 2 (2020)

Section

Articles

How to Cite

Osaulenko, R. Y. “An Analogue of the Logarithmic $(u,v)$-Derivative and Its Application”. Methods of Functional Analysis and Topology, vol. 26, no. 2, June 2020, pp. 179-88, https://doi.org/https://doi.org/10.31392/MFAT-npu26_2.2020.09.