On the divergence of lacunary partial sums of orthogonal series with uniformly bounded functions

Research output: Contribution to journalArticle

Abstract

We verify that in a divergence theorem proved by L. CsernyÁk and the author the classical monotone decreasing assumption on the " blocksequence" can be weakened to locally almost monotone condition. Furthermore by means of the new result we improve a theorem pertaining to the divergence of the generalized de la Vallée-Poussin means.

Original languageEnglish
Pages (from-to)121-127
Number of pages7
JournalActa Scientiarum Mathematicarum
Volume80
Issue number1-2
DOIs
Publication statusPublished - 2014

Keywords

  • Coefficient conditions
  • Locally almost monotonicity
  • Orthogonal series

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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