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-Convergence of Double Vilenkin Series.

Authors :
Agafonova, N. Yu.
Volosivets, S. S.
Source :
P-Adic Numbers, Ultrametric Analysis & Applications; Jun2023, Vol. 15 Issue 2, p94-103, 10p
Publication Year :
2023

Abstract

We give necessary and sufficient conditions for convergence of double Vilenkin series whose coefficients form a double null sequence of bounded variation. Also we study the existence of the special form of Riemann improper integral for sum of this series. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20700466
Volume :
15
Issue :
2
Database :
Complementary Index
Journal :
P-Adic Numbers, Ultrametric Analysis & Applications
Publication Type :
Academic Journal
Accession number :
169326935
Full Text :
https://doi.org/10.1134/S2070046623020024