On generalized bounded variation functions on Vilenkin groups and applications

Ushangi Goginava; Gvantsa Shavardenidze; Tadael Mequanent; Yonathan Demeke

doi:10.1515/gmj-2025-2063

On generalized bounded variation functions on Vilenkin groups and applications

Ushangi Goginava
, Gvantsa Shavardenidze
, Tadael Mequanent
, Yonathan Demeke

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Georgian Mathematical Journal
DOIs	https://doi.org/10.1515/gmj-2025-2063
Publication status	Accepted/In press - 2025

Keywords

functions of bounded variation
summability by Cesàro method
Vilenkin group

ASJC Scopus subject areas

General Mathematics

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10.1515/gmj-2025-2063

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title = "On generalized bounded variation functions on Vilenkin groups and applications",

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.",

keywords = "functions of bounded variation, summability by Ces{\`a}ro method, Vilenkin group",

author = "Ushangi Goginava and Gvantsa Shavardenidze and Tadael Mequanent and Yonathan Demeke",

note = "Publisher Copyright: {\textcopyright} 2025 Walter de Gruyter GmbH, Berlin/Boston.",

year = "2025",

doi = "10.1515/gmj-2025-2063",

language = "English",

journal = "Georgian Mathematical Journal",

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T1 - On generalized bounded variation functions on Vilenkin groups and applications

AU - Goginava, Ushangi

AU - Shavardenidze, Gvantsa

AU - Mequanent, Tadael

AU - Demeke, Yonathan

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 -

On generalized bounded variation functions on Vilenkin groups and applications

Abstract

Keywords

ASJC Scopus subject areas

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