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

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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.

Original languageEnglish
Article number127153
JournalJournal of Mathematical Analysis and Applications
Volume529
Issue number2
DOIs
Publication statusPublished - 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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