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


Bilgin T.

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, cilt.46, ss.367-376, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 46 Konu: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1215/kjm/1250281782
  • Dergi Adı: JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY
  • Sayfa Sayıları: ss.367-376

Özet

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.