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On generalized bounded variation functions on Vilenkin groups and applications

  • Ushangi Goginava ORCID logo , Gvantsa Shavardenidze ORCID logo EMAIL logo , Tadael Mequanent and Yonathan Demeke
Published/Copyright: August 1, 2025
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Abstract

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.

Funding statement: The authors are very thankful to UAEU SURE Plus Grant 3649.

Acknowledgements

We would like to express our sincere gratitude to the anonymous referees for their valuable comments and suggestions, which have significantly improved the quality of this paper.

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Received: 2024-12-27
Revised: 2025-04-15
Accepted: 2025-05-01
Published Online: 2025-08-01

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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