An addition to Tandori's summation theorem

Research output: Contribution to journalArticle

Abstract

We utilize the Bernstein-type almost monotone sequences instead of monotone sequences and verify that the classical Menšov-condition ∑ c2n log log2 n <∞, which implies Abel- and (C,α>0)-summability of orthogonal series, is a necessary and sufficient condition for a larger class of sequences than it was proved by Tandori.

Original languageEnglish
Pages (from-to)201-207
Number of pages7
JournalActa Mathematica Hungarica
Volume143
Issue number1
DOIs
Publication statusPublished - 2014

Fingerprint

Monotone Sequences
Summation
Orthogonal Series
Summability
Theorem
Verify
Necessary Conditions
Sufficient Conditions
Class

Keywords

  • 42C05
  • 42C15
  • monotone coefficients
  • orthogonal series

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

An addition to Tandori's summation theorem. / Leindler, L.

In: Acta Mathematica Hungarica, Vol. 143, No. 1, 2014, p. 201-207.

Research output: Contribution to journalArticle

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