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math.CAJan 29, 2020
7
citations (OpenAlex)
authors
  • Symon Serbenyuk
arXiv abstractPDF
paper

On certain maps defined by infinite sums

arXiv:2001.11852 · doi:10.1007/s41478-020-00229-x

Abstract

The present article is devoted to some examples of functions whose arguments represented in terms of certain series of the Cantor type.

arXiv comment19 pages. arXiv admin note: substantial text overlap with arXiv:1905.12148

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 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)
  • On one class of functions with complicated local structure
  • Representation of real numbers by the alternating Cantor series
  • One distribution function on the Moran sets
  • On one class of fractal sets
  • More on one class of fractals

Cited by in corpus (4)

  • Certain singular distributions and fractals
  • One modification of the Salem function
  • On one class of modifications of the Salem function
  • On one map between singular expansions
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