On universal pairs relative to the Vilenkin system
In this paper it is proved that there exist universal pairs $\big({\{\lambda_{k,s}\}_{_{k,s=0} }^{\infty}}\mathbf{,}E\big)$ in the sense of modification with respect to double multiplicative systems. A universal series with respect to the double Vilenkin system in the class of measurable functions of two variables is constructed.
Authors
- L. N. Galoyan
- Tigran Grigoryan (ORCID: https://orcid.org/0000-0002-9915-2412)
- M. G. Grigoryan (ORCID: https://orcid.org/0000-0001-8238-6549)
Institutions
- Yerevan State University (AM)
Publication Details
- Journal
- Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
- Published
- 2025-06-29
- DOI
- https://doi.org/10.26907/0021-3446-2025-6-80-87
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00