Lacunary A(p)-summable sequence spaces defined by Orlicz functions


Bilgin T.

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, vol.46, no.2, pp.367-376, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1215/kjm/1250281782
  • Title of Journal : JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY
  • Page Numbers: pp.367-376

Abstract

In this paper we introduce some new sequence spaces combining a lacunary sequence, an infinite matrix, a bounded sequence and an Orlicz function. We discuss some topological properties and establish some inclusion relations between these spaces. It is also shown that if a sequence is lacunary A(p)-convergent with respect to an Orlicz function then it is lacunary strongly S-theta(A)-statistically convergent.