On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation

Ushangi Goginava; Artur Sahakian

doi:10.1007/bf03643928

On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation

Ushangi Goginava
, Artur Sahakian

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

3 Citations (Scopus)

Abstract

The convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial λ-variation is investigated. The sufficient and neccessary conditions on the sequence λ = {λ _n} are found for the convergence of Cesaro means of Fourier series of functions of bounded partial λ-variation.

Original language	English
Pages (from-to)	451-471
Number of pages	21
Journal	Acta Scientiarum Mathematicarum
Volume	77
Issue number	3-4
DOIs	https://doi.org/10.1007/bf03643928
Publication status	Published - 2011
Externally published	Yes

Keywords

λ-variation
Cesaro means
Fourier series
Generalized variation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/bf03643928

Cite this

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title = "On the convergence of Ces{\`a}ro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation",

abstract = "The convergence of Ces{\`a}ro means of negative order of double trigonometric Fourier series of functions of bounded partial λ-variation is investigated. The sufficient and neccessary conditions on the sequence λ = \{λ n\} are found for the convergence of Cesaro means of Fourier series of functions of bounded partial λ-variation.",

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author = "Ushangi Goginava and Artur Sahakian",

year = "2011",

doi = "10.1007/bf03643928",

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AU - Goginava, Ushangi

AU - Sahakian, Artur

PY - 2011

Y1 - 2011

N2 - The convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial λ-variation is investigated. The sufficient and neccessary conditions on the sequence λ = {λ n} are found for the convergence of Cesaro means of Fourier series of functions of bounded partial λ-variation.

AB - The convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial λ-variation is investigated. The sufficient and neccessary conditions on the sequence λ = {λ n} are found for the convergence of Cesaro means of Fourier series of functions of bounded partial λ-variation.

KW - λ-variation

KW - Cesaro means

KW - Fourier series

KW - Generalized variation

UR - https://www.scopus.com/pages/publications/84858856126

UR - https://www.scopus.com/pages/publications/84858856126#tab=citedBy

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DO - 10.1007/bf03643928

M3 - Article

AN - SCOPUS:84858856126

SN - 0001-6969

VL - 77

SP - 451

EP - 471

JO - Acta Scientiarum Mathematicarum

JF - Acta Scientiarum Mathematicarum

IS - 3-4

ER -

On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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