Classes of Generalized Continuous Variation Functions on Vilenkin Groups and Their Applications

Ushangi Goginava; Gvantsa Shavardenidze

Classes of Generalized Continuous Variation Functions on Vilenkin Groups and Their Applications

Department of Mathematical Sciences

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

Abstract

Classes of continuous oscillation functions for bounded Vilenkin groups are introduced in the work. Establishing embedding theorems across classes and examining the issue of summability of double Vilenkin–Fourier series.

Original language	English
Pages (from-to)	41-50
Number of pages	10
Journal	Bulletin of TICMI
Volume	28
Issue number	1
Publication status	Published - 2024

Keywords

Functions of bounded variation
Summability by Cesáro method
Vilenkin Group

ASJC Scopus subject areas

General Mathematics
Computer Science Applications

Cite this

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title = "Classes of Generalized Continuous Variation Functions on Vilenkin Groups and Their Applications",

abstract = "Classes of continuous oscillation functions for bounded Vilenkin groups are introduced in the work. Establishing embedding theorems across classes and examining the issue of summability of double Vilenkin–Fourier series.",

keywords = "Functions of bounded variation, Summability by Ces{\'a}ro method, Vilenkin Group",

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Classes of Generalized Continuous Variation Functions on Vilenkin Groups and Their Applications

Abstract

Keywords

ASJC Scopus subject areas

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