On the divergence of subsequences of partial Walsh-Fourier sums

Ushangi Goginava, Giorgi Oniani

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

A class of increasing sequences of natural numbers (nk) is found for which there exists a function f∈L[0,1) such that the subsequence of partial Walsh-Fourier sums (Snk(f)) diverges everywhere. A condition for the growth order of a function φ:[0,∞)→[0,∞) is given fulfillment of which implies an existence of above type function f in the class φ(L)[0,1).

Original languageEnglish
Article number124900
JournalJournal of Mathematical Analysis and Applications
Volume497
Issue number2
DOIs
Publication statusPublished - May 15 2021

Keywords

  • Everywhere divergence
  • Subsequence of partial sums
  • Walsh-Fourier series

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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