Functional equations, alternating expansions, and generalizations of the Salem functions
S Serbenyuk - Aequationes mathematicae, 2024 - Springer
Functional equations, alternating expansions, and generalizations of the Salem functions |
Aequationes mathematicae Skip to main content SpringerLink Account Menu Find a journal …
Aequationes mathematicae Skip to main content SpringerLink Account Menu Find a journal …
Relationships between singular expansions of real numbers
S Serbenyuk - The Journal of Analysis, 2024 - Springer
Relationships between singular expansions of real numbers | The Journal of Analysis Skip to
main content Springer Nature Link Account Menu Find a journal Publish with us Track your …
main content Springer Nature Link Account Menu Find a journal Publish with us Track your …
A certain modification of classical singular function
S Serbenyuk - Boletín de la Sociedad Matemática Mexicana, 2023 - Springer
The present article is devoted to one generalization of the classical Salem function such that
defined in terms of the P 3-representations of real numbers from the closed interval [0, 1] …
defined in terms of the P 3-representations of real numbers from the closed interval [0, 1] …
Singular Modifications Of A Classical Function
S Serbenyuk - Acta Mathematica Hungarica, 2024 - Springer
The present article deals with properties of one class of functions with complicated local
structure. These functions can be modeled by certain operators of digits. Such operators …
structure. These functions can be modeled by certain operators of digits. Such operators …
Systems of functional equations and generalizations of certain functions
S Serbenyuk - Aequationes mathematicae, 2021 - Springer
The present article is devoted to generalized Salem functions, the generalized shift operator,
and certain related problems. A description of further investigations of the author of this …
and certain related problems. A description of further investigations of the author of this …
[PDF][PDF] Some fractal properties of sets having the Moran structure
S Serbenyuk - Tatra Mt. Math. Publ, 2022 - intapi.sciendo.com
SOME FRACTAL PROPERTIES OF SETS HAVING THE MORAN STRUCTURE 1. Introduction
Page 1 Mathematical Publications DOI: 10.2478/tmmp-2022-0001 Tatra Mt. Math. Publ. 81 …
Page 1 Mathematical Publications DOI: 10.2478/tmmp-2022-0001 Tatra Mt. Math. Publ. 81 …
One class of functions with arguments in negative bases
S Serbenyuk - arXiv preprint arXiv:2303.07867, 2023 - arxiv.org
arXiv:2303.07867v1 [math.GM] 12 Mar 2023 Page 1 arXiv:2303.07867v1 [math.GM] 12 Mar
2023 ONE CLASS OF FUNCTIONS WITH ARGUMENTS IN NEGATIVE BASES SYMON …
2023 ONE CLASS OF FUNCTIONS WITH ARGUMENTS IN NEGATIVE BASES SYMON …
One distribution function on the Moran sets
S Serbenyuk - arXiv preprint arXiv:1808.00395, 2018 - arxiv.org
In the present article, topological, metric, and fractal properties of certain sets are
investigated. These sets are images of sets whose elements have restrictions on using digits …
investigated. These sets are images of sets whose elements have restrictions on using digits …
One modification of the Salem function
S Serbenyuk - arXiv preprint arXiv:2304.07776, 2023 - arxiv.org
arXiv:2304.07776v2 [math.GM] 26 Jul 2023 Page 1 arXiv:2304.07776v2 [math.GM] 26 Jul
2023 ONE MODIFICATION OF THE SALEM FUNCTION SYMON SERBENYUK simon6@ukr.net …
2023 ONE MODIFICATION OF THE SALEM FUNCTION SYMON SERBENYUK simon6@ukr.net …
[PDF][PDF] Generalizations of certain representations of real numbers
S Serbenyuk - Tatra Mountains Mathematical Publications, 2020 - intapi.sciendo.com
One of the peculiarities of the research presented in this paper, is introducing numeral
systems with mixed bases (ie, with bases containing positive and negative numbers). In …
systems with mixed bases (ie, with bases containing positive and negative numbers). In …