TY - JOUR
T1 - On generalized bounded variation functions on Vilenkin groups and applications
AU - Goginava, Ushangi
AU - Shavardenidze, Gvantsa
AU - Mequanent, Tadael
AU - Demeke, Yonathan
N1 - Publisher Copyright:
© 2025 Walter de Gruyter GmbH, Berlin/Boston.
PY - 2025
Y1 - 2025
N2 - In the present paper, we introduce certain classes of functions of weighted bounded oscillation on bounded Vilenkin groups. For such classes, we employ the summability methods of the theory of double Vilenkin-Fourier series.
AB - In the present paper, we introduce certain classes of functions of weighted bounded oscillation on bounded Vilenkin groups. For such classes, we employ the summability methods of the theory of double Vilenkin-Fourier series.
KW - functions of bounded variation
KW - summability by Cesàro method
KW - Vilenkin group
UR - https://www.scopus.com/pages/publications/105012583023
UR - https://www.scopus.com/pages/publications/105012583023#tab=citedBy
U2 - 10.1515/gmj-2025-2063
DO - 10.1515/gmj-2025-2063
M3 - Article
AN - SCOPUS:105012583023
SN - 1072-947X
JO - Georgian Mathematical Journal
JF - Georgian Mathematical Journal
ER -