On the divergence of Nörlund logarithmic means of Walsh-Fourier series

György Gát, Ushangi Goginava

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


It is well known in the literature that the logarithmic means 1-k = 1n - 1 S-k f k of Walsh or trigonometric Fourier series converge a.e. to the function for each integrable function on the unit interval. This is not the case if we take the partial sums. In this paper we prove that the behavior of the so-called Nörlund logarithmic means 1 logn-k = 1 n - 1 S-k (f) n - k is closer to the properties of partial sums in this point of view.

Original languageEnglish
Pages (from-to)903-916
Number of pages14
JournalActa Mathematica Sinica, English Series
Issue number6
Publication statusPublished - Jun 2009
Externally publishedYes


  • A.e. divergence
  • Nörlund logarithmic means
  • Walsh function

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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