Lacunary A(p)-summable sequence spaces defined by Orlicz functions
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, vol.46, no.2, pp.367-376, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 46 Issue: 2
- Publication Date: 2006
- Doi Number: 10.1215/kjm/1250281782
- Journal Name: JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.367-376
- Van Yüzüncü Yıl University Affiliated: Yes
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.