Strong Approximation by Marcinkiewicz Means of Two-dimensional Walsh-Fourier Series

Ushangi Goginava; Larry Gogoladze

doi:10.1007/s00365-011-9129-8

Strong Approximation by Marcinkiewicz Means of Two-dimensional Walsh-Fourier Series

Ushangi Goginava, Larry Gogoladze

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

19 Citations (Scopus)

Abstract

In this paper we study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Walsh-Fourier series. In particular, it is proved that the Marcinkiewicz type of 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)	1-19
Number of pages	19
Journal	Constructive Approximation
Volume	35
Issue number	1
DOIs	https://doi.org/10.1007/s00365-011-9129-8
Publication status	Published - Feb 2012
Externally published	Yes

Keywords

Marcinkiewicz means
Strong Approximation
Walsh function

ASJC Scopus subject areas

Analysis
General Mathematics
Computational Mathematics

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10.1007/s00365-011-9129-8

Cite this

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AB - In this paper we study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Walsh-Fourier series. In particular, it is proved that the Marcinkiewicz type of 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.

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Strong Approximation by Marcinkiewicz Means of Two-dimensional Walsh-Fourier Series

Abstract

Keywords

ASJC Scopus subject areas

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