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.
Full Text
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},
}
