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math.GMApr 1, 2023
8
citations (OpenAlex)
authors
  • Symon Serbenyuk
institutions
  • Kharkiv National University of Internal Affairs
arXiv abstractPDF
paper

One modification of the Salem function

arXiv:2304.07776 · doi:10.1007/s40590-023-00569-1

Abstract

The present article is devoted to one example which related to the Salem function. The main attention is given to properties of one type of functions including items related to functional equations, graphs, the Lebesgue integral, etc.

arXiv comment10 pages

References in corpus (8)

  • On one fractal property of the Minkowski function
  • Non-differentiable functions defined in terms of classical representations of real numbers
  • On certain generalizations of one function and related problems (Systems of functional equations and generalizations of certain functions)
  • On one class of functions with complicated local structure that the solutions of infinite systems of functional equations (On one application of infinite systems of functional equations in the functions theory)
  • Generalizations of certain representations of real numbers
  • Certain singular distributions and fractals
  • One class of functions with arguments in negative bases
  • On certain maps defined by infinite sums

Cited by in corpus (3)

  • On one class of modifications of the Salem function
  • On one map between singular expansions
  • The Engel--Minkowski question-mark function
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