On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation

U. Goginava; A. Sahakian

doi:10.3103/S1068362312050020

On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation

U. Goginava, A. Sahakian

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

3 Citations (Scopus)

Abstract

The convergence of multiple Walsh-Fourier series of functions of bounded generalized variation is investigated. The sufficient and necessary conditions on the sequence Λ = {λ _n} are found for the convergence of multiple Walsh-Fourier series of functions of bounded partial λ-variation.

Original language	English
Pages (from-to)	221-233
Number of pages	13
Journal	Journal of Contemporary Mathematical Analysis
Volume	47
Issue number	5
DOIs	https://doi.org/10.3103/S1068362312050020
Publication status	Published - Sept 2012
Externally published	Yes

Keywords

Λ-variation
generalized variation
Walsh-Fourier series

ASJC Scopus subject areas

Analysis
Control and Optimization
Applied Mathematics

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10.3103/S1068362312050020

Cite this

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abstract = "The convergence of multiple Walsh-Fourier series of functions of bounded generalized variation is investigated. The sufficient and necessary conditions on the sequence Λ = {λ n} are found for the convergence of multiple Walsh-Fourier series of functions of bounded partial λ-variation.",

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author = "U. Goginava and A. Sahakian",

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AB - The convergence of multiple Walsh-Fourier series of functions of bounded generalized variation is investigated. The sufficient and necessary conditions on the sequence Λ = {λ n} are found for the convergence of multiple Walsh-Fourier series of functions of bounded partial λ-variation.

KW - Λ-variation

KW - generalized variation

KW - Walsh-Fourier series

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On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation

Abstract

Keywords

ASJC Scopus subject areas

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