Almost Everywhere Convergence of Strong Nörlund Logarithmic Means of Walsh-Fourier Series

U. Goginava

doi:10.3103/S1068362318050059

Almost Everywhere Convergence of Strong Nörlund Logarithmic Means of Walsh-Fourier Series

U. Goginava

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

Abstract

In this paper we study the maximal operator for a class of subsequences of strong Nörlund logarithmic means of Walsh-Fourier series. For such a class we prove the almost everywhere strong summability for every integrable function f.

Original language	English
Pages (from-to)	281-287
Number of pages	7
Journal	Journal of Contemporary Mathematical Analysis
Volume	53
Issue number	5
DOIs	https://doi.org/10.3103/S1068362318050059
Publication status	Published - Sept 1 2018
Externally published	Yes

Keywords

Nörlund means
strong summability
Walsh function

ASJC Scopus subject areas

Analysis
Control and Optimization
Applied Mathematics

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10.3103/S1068362318050059

Cite this

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abstract = "In this paper we study the maximal operator for a class of subsequences of strong N{\"o}rlund logarithmic means of Walsh-Fourier series. For such a class we prove the almost everywhere strong summability for every integrable function f.",

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KW - strong summability

KW - Walsh function

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Almost Everywhere Convergence of Strong Nörlund Logarithmic Means of Walsh-Fourier Series

Abstract

Keywords

ASJC Scopus subject areas

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