Strong approximation of two-dimensional Walsh-Fourier series

Ushangi Goginava; Larry Gogoladze

doi:10.1556/SScMath.49.2012.2.1196

Strong approximation of two-dimensional Walsh-Fourier series

Ushangi Goginava, Larry Gogoladze

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

6 Citations (Scopus)

Abstract

In this paper we study the exponential uniform strong approximation of two-dimensional Walsh-Fourier series. In particular, it is proved that the two-dimensional Walsh-Fourier series of the continuous function f is uniformly strong summable to the function f exponentially in the power 1/2. Moreover, it is proved that this result is best possible.

Original language	English
Pages (from-to)	170-188
Number of pages	19
Journal	Studia Scientiarum Mathematicarum Hungarica
Volume	49
Issue number	2
DOIs	https://doi.org/10.1556/SScMath.49.2012.2.1196
Publication status	Published - Jun 1 2012
Externally published	Yes

Keywords

Primary 42C10
strong approximation
Walsh function

ASJC Scopus subject areas

General Mathematics

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10.1556/SScMath.49.2012.2.1196

Cite this

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Strong approximation of two-dimensional Walsh-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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