On the convergence of multiple Fourier series of functions of bounded partial generalized variation

Ushangi Goginava; Artur Sahakian

doi:10.1007/s10476-013-0103-5

On the convergence of multiple Fourier series of functions of bounded partial generalized variation

Ushangi Goginava
, Artur Sahakian

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

5 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	45-56
Number of pages	12
Journal	Analysis Mathematica
Volume	39
Issue number	1
DOIs	https://doi.org/10.1007/s10476-013-0103-5
Publication status	Published - Mar 2013
Externally published	Yes

ASJC Scopus subject areas

Analysis
General Mathematics

Access to Document

10.1007/s10476-013-0103-5

Cite this

@article{b4760312ec5843cca321608f99c7dd92,

title = "On the convergence of multiple Fourier series of functions of bounded partial generalized variation",

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

author = "Ushangi Goginava and Artur Sahakian",

year = "2013",

month = mar,

doi = "10.1007/s10476-013-0103-5",

language = "English",

volume = "39",

pages = "45--56",

journal = "Analysis Mathematica",

issn = "0133-3852",

publisher = "Springer Nature",

number = "1",

}

TY - JOUR

T1 - On the convergence of multiple Fourier series of functions of bounded partial generalized variation

AU - Goginava, Ushangi

AU - Sahakian, Artur

PY - 2013/3

Y1 - 2013/3

N2 - The convergence of multiple Fourier series of functions of bounded partial Λ-variation is investigated. The sufficient and necessary conditions on the sequence Λ = {λn} are found for the convergence of multiple Fourier series of functions of bounded partial Λ-variation.

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

UR - https://www.scopus.com/pages/publications/84874496732

UR - https://www.scopus.com/pages/publications/84874496732#tab=citedBy

U2 - 10.1007/s10476-013-0103-5

DO - 10.1007/s10476-013-0103-5

M3 - Article

AN - SCOPUS:84874496732

SN - 0133-3852

VL - 39

SP - 45

EP - 56

JO - Analysis Mathematica

JF - Analysis Mathematica

IS - 1

ER -

On the convergence of multiple Fourier series of functions of bounded partial generalized variation

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this