On strongly almost lacunary statistical A-convergence defined by a Musielak-Orlicz function

Savaş E., Borgohain S.

Filomat, vol.30, no.3, pp.689-697, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1603689s
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.689-697
  • Keywords: A-covergence, Almost convergence, Lacunary seqence, Musielak-Orlicz function, Statistical convergence
  • Uşak University Affiliated: No

Abstract

We study some new strongly almost lacunary statistical A-convergent sequence space of order α defined by a Musielak-Orlicz function. We also give some inclusion relations between the newly introduced class of sequences with the spaces of strongly almost lacunary A-convergent sequence of order α. Moreover we have examined some results on the Musielak-Orlicz function with respect to these spaces.