Uniform Convergence Of N-Dimensional Trigonometric Fourier Series

U. Goginava

doi:10.1515/GMJ.2000.665

Uniform Convergence Of N-Dimensional Trigonometric Fourier Series

U. Goginava

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

3 Citations (Scopus)

Abstract

We establish the conditions for the partial moduli of continuity, which guarantee the uniform convergence of N-dimensional trigonometric Fourier series of the functions of the so called generalized partial bounded p-variation.

Original language	English
Pages (from-to)	665-676
Number of pages	12
Journal	Georgian Mathematical Journal
Volume	7
Issue number	4
DOIs	https://doi.org/10.1515/GMJ.2000.665
Publication status	Published - 2000
Externally published	Yes

Keywords

N-dimensional trigonometric Fourier series
Uniform convergence
Variation in Hardy's sense

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1515/GMJ.2000.665

Cite this

@article{bffc116dad9b42868f7096469edae01a,

title = "Uniform Convergence Of N-Dimensional Trigonometric Fourier Series",

abstract = "We establish the conditions for the partial moduli of continuity, which guarantee the uniform convergence of N-dimensional trigonometric Fourier series of the functions of the so called generalized partial bounded p-variation.",

keywords = "N-dimensional trigonometric Fourier series, Uniform convergence, Variation in Hardy's sense",

author = "U. Goginava",

year = "2000",

doi = "10.1515/GMJ.2000.665",

language = "English",

volume = "7",

pages = "665--676",

journal = "Georgian Mathematical Journal",

issn = "1072-947X",

publisher = "Walter de Gruyter GmbH",

number = "4",

}

TY - JOUR

T1 - Uniform Convergence Of N-Dimensional Trigonometric Fourier Series

AU - Goginava, U.

PY - 2000

Y1 - 2000

N2 - We establish the conditions for the partial moduli of continuity, which guarantee the uniform convergence of N-dimensional trigonometric Fourier series of the functions of the so called generalized partial bounded p-variation.

AB - We establish the conditions for the partial moduli of continuity, which guarantee the uniform convergence of N-dimensional trigonometric Fourier series of the functions of the so called generalized partial bounded p-variation.

KW - N-dimensional trigonometric Fourier series

KW - Uniform convergence

KW - Variation in Hardy's sense

UR - https://www.scopus.com/pages/publications/33646356685

UR - https://www.scopus.com/pages/publications/33646356685#tab=citedBy

U2 - 10.1515/GMJ.2000.665

DO - 10.1515/GMJ.2000.665

M3 - Article

AN - SCOPUS:33646356685

SN - 1072-947X

VL - 7

SP - 665

EP - 676

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 4

ER -

Uniform Convergence Of N-Dimensional Trigonometric Fourier Series

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this