Some new sequence spaces defined by lacunary sequences

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Savas E., KARAKAYA V.

Mathematica Slovaca, vol.57, no.4, pp.393-399, 2007 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.2478/s12175-007-0034-3
  • Journal Name: Mathematica Slovaca
  • Journal Indexes: Scopus
  • Page Numbers: pp.393-399
  • Keywords: lacunary sequences, almost convergence, almost bounded variation
  • Open Archive Collection: AVESIS Open Access Collection
  • İstanbul Ticaret University Affiliated: Yes

Abstract

It is natural to expect that lacunary almost convergence must be related to the some concept of lacunary almost bounded variations in the some view as almost convergence is related to almost bounded variation. The purpose of this paper is to examine this new concept in some details. Some inclusion theorems have been established. © 2007, Versita Warsaw. All rights reserved.