Almost everywhere divergence of Cesàro means with varying parameters of Walsh–Fourier series

Ushangi Goginava

doi:10.1016/j.jmaa.2023.127153

Almost everywhere divergence of Cesàro means with varying parameters of Walsh–Fourier series

Ushangi Goginava

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

6 Citations (Scopus)

Abstract

In the presented paper, we are going to solve the problem related to the almost everywhere divergence of the (C,α_n) means of Walsh–Fourier series. Namely, we establish that for every sequence (α_n:n∈P) that tends to zero arbitrarily slowly, there exists an integrable function f for which (C,α_n) means of Walsh–Fourier series is divergent almost everywhere.

Original language	English
Article number	127153
Journal	Journal of Mathematical Analysis and Applications
Volume	529
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2023.127153
Publication status	Published - Jan 15 2024

Keywords

Almost everywhere divergence
Cesàro means with varying parameters
Walsh functions

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2023.127153

Cite this

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abstract = "In the presented paper, we are going to solve the problem related to the almost everywhere divergence of the (C,αn) means of Walsh–Fourier series. Namely, we establish that for every sequence (αn:n∈P) that tends to zero arbitrarily slowly, there exists an integrable function f for which (C,αn) means of Walsh–Fourier series is divergent almost everywhere.",

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AB - In the presented paper, we are going to solve the problem related to the almost everywhere divergence of the (C,αn) means of Walsh–Fourier series. Namely, we establish that for every sequence (αn:n∈P) that tends to zero arbitrarily slowly, there exists an integrable function f for which (C,αn) means of Walsh–Fourier series is divergent almost everywhere.

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KW - Cesàro means with varying parameters

KW - Walsh functions

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Almost everywhere divergence of Cesàro means with varying parameters of Walsh–Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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