On Cesàro Means of Double Trigonometric Fourier series

U. Goginava

doi:10.1023/A:1026135608900

On Cesàro Means of Double Trigonometric Fourier series

U. Goginava

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

1 Citation (Scopus)

Abstract

Zhizhiashvili studied questions associated with the approximation properties of Cesàro means of trigonometric Fourier series for functions of two variables in the spaces H^ω. It is proved here that the corresponding estimate cannot be improved for p = 1 or p = ∞.

Original language	English
Pages (from-to)	477-482
Number of pages	6
Journal	Mathematical Notes
Volume	74
Issue number	3-4
DOIs	https://doi.org/10.1023/A:1026135608900
Publication status	Published - Sept 2003
Externally published	Yes

Keywords

2π-periodic function of two variables
Cesàro mean
Modulus of continuity
Trigonometric Fourier series

ASJC Scopus subject areas

General Mathematics

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10.1023/A:1026135608900

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title = "On Ces{\`a}ro Means of Double Trigonometric Fourier series",

abstract = "Zhizhiashvili studied questions associated with the approximation properties of Ces{\`a}ro means of trigonometric Fourier series for functions of two variables in the spaces Hω. It is proved here that the corresponding estimate cannot be improved for p = 1 or p = ∞.",

keywords = "2π-periodic function of two variables, Ces{\`a}ro mean, Modulus of continuity, Trigonometric Fourier series",

author = "U. Goginava",

year = "2003",

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AB - Zhizhiashvili studied questions associated with the approximation properties of Cesàro means of trigonometric Fourier series for functions of two variables in the spaces Hω. It is proved here that the corresponding estimate cannot be improved for p = 1 or p = ∞.

KW - 2π-periodic function of two variables

KW - Cesàro mean

KW - Modulus of continuity

KW - Trigonometric Fourier series

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JO - Mathematical Notes

JF - Mathematical Notes

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ER -

On Cesàro Means of Double Trigonometric Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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