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


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.

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TitleAn analogue of the logarithmic $(u,v)$-derivative and its application
SourceMethods Funct. Anal. Topology, Vol. 26 (2020), no. 2, 179-188
MathSciNet   MR4127614
Milestones  Received 10.01.2020; Revised 24.02.2020
CopyrightThe 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

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


@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 = {},


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