On everywhere divergence of the strong Φ-means of Walsh-Fourier series

G. Gát, U. Goginava, G. Karagulyan

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


Almost everywhere strong exponential summability of Fourier series in Walsh and trigonometric systems was established by Rodin in 1990. We prove, that if the growth of a function Φ(. t). :. [0, ∞)→[0, ∞) is bigger than the exponent, then the strong Φ-summability of a Walsh-Fourier series can fail everywhere. The analogous theorem for trigonometric system was proved before by one of the authors of this paper.

Original languageEnglish
Pages (from-to)206-214
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Issue number1
Publication statusPublished - Jan 1 2015
Externally publishedYes


  • Everywhere divergent Walsh-Fourier series
  • Strong summability
  • Walsh series

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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