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

Access to Document

10.1007/bf03643928

Cite this

@article{5c948f86e1fb46fa9fab24a2592cc06f,

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.",

keywords = "λ-variation, Cesaro means, Fourier series, Generalized variation",

author = "Ushangi Goginava and Artur Sahakian",

year = "2011",

doi = "10.1007/bf03643928",

language = "English",

volume = "77",

pages = "451--471",

journal = "Acta Scientiarum Mathematicarum",

issn = "0001-6969",

publisher = "Springer International Publishing AG",

number = "3-4",

}

TY - JOUR

T1 - On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation

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

U2 - 10.1007/bf03643928

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

Other files and links

Fingerprint

Cite this