Open Access

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

### 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.

Key words: Derivative, logarithmic $(u, v)$-derivative, singular function, nowhere monotone function.

### Article Information

 Title An analogue of the logarithmic $(u,v)$-derivative and its application Source Methods Funct. Anal. Topology, Vol. 26 (2020), no. 2, 179-188 DOI 10.31392/MFAT-npu26_2.2020.09 MathSciNet MR4127614 Milestones Received 10.01.2020; Revised 24.02.2020 Copyright The Author(s) 2020 (CC BY-SA)

### Authors Information

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

### Citation Example

R. Y. Osaulenko, An analogue of the logarithmic $(u,v)$-derivative and its application, Methods Funct. Anal. Topology 26 (2020), no. 2, 179-188.

### BibTex

@article {MFAT1349,
AUTHOR = {R. Y. Osaulenko},
TITLE = {An analogue of the logarithmic $(u,v)$-derivative and its application},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {26},
YEAR = {2020},
NUMBER = {2},
PAGES = {179-188},
ISSN = {1029-3531},
MRNUMBER = {MR4127614},
DOI = {10.31392/MFAT-npu26_2.2020.09},
URL = {http://mfat.imath.kiev.ua/article/?id=1349},
}

Coming Soon.