On the Uniform Convergence and L-Convergence of Double Fourier Series with Respect to the Walsh-Kaczmarz System

U. Goginava

doi:10.1515/GMJ.2003.223

On the Uniform Convergence and L-Convergence of Double Fourier Series with Respect to the Walsh-Kaczmarz System

U. Goginava

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

3 Citations (Scopus)

Abstract

In this paper we study the approximation by rectangular partial sums of a double Fourier series with respect to the Walsh-Kaczmarz system in the spaces C and L. From our results we obtain different criteria of the uniform convergence and L-convergence of a double Fourier-Kaczmarz series.

Original language	English
Pages (from-to)	223-235
Number of pages	13
Journal	Georgian Mathematical Journal
Volume	10
Issue number	2
DOIs	https://doi.org/10.1515/GMJ.2003.223
Publication status	Published - 2003
Externally published	Yes

Keywords

bounded variation in the sense of Hardy
convergence in L-norm
uniform convergence
Walsh-Kaczmarz system

ASJC Scopus subject areas

General Mathematics

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10.1515/GMJ.2003.223

Cite this

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abstract = "In this paper we study the approximation by rectangular partial sums of a double Fourier series with respect to the Walsh-Kaczmarz system in the spaces C and L. From our results we obtain different criteria of the uniform convergence and L-convergence of a double Fourier-Kaczmarz series.",

keywords = "bounded variation in the sense of Hardy, convergence in L-norm, uniform convergence, Walsh-Kaczmarz system",

author = "U. Goginava",

year = "2003",

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AB - In this paper we study the approximation by rectangular partial sums of a double Fourier series with respect to the Walsh-Kaczmarz system in the spaces C and L. From our results we obtain different criteria of the uniform convergence and L-convergence of a double Fourier-Kaczmarz series.

KW - bounded variation in the sense of Hardy

KW - convergence in L-norm

KW - uniform convergence

KW - Walsh-Kaczmarz system

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DO - 10.1515/GMJ.2003.223

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JF - Georgian Mathematical Journal

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ER -

On the Uniform Convergence and L-Convergence of Double Fourier Series with Respect to the Walsh-Kaczmarz System

Abstract

Keywords

ASJC Scopus subject areas

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