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 https://doi.org/10.31392/MFAT-npu26 2.2020.09 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},
URL = {http://mfat.imath.kiev.ua/article/?id=1349},
}

Coming Soon.