Some sequence spaces defined by Orlicz functions

SAVAŞ E., Savaş R.

Archivum Mathematicum, vol.40, no.1, pp.33-40, 2004 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2004
  • Journal Name: Archivum Mathematicum
  • Journal Indexes: Scopus
  • Page Numbers: pp.33-40
  • Keywords: De la Vallée-Poussin means, Orlicz function, Sequence spaces
  • Uşak University Affiliated: Yes

Abstract

In this paper we introduce a new concept of λ-strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces. It is also shown that if a sequence is λ-strongly convergent with respect to an Orlicz function then it is λ-statistically convergent.