Lacunary almost convergence and some new sequence spaces

SAVAŞ E.

Filomat, vol.33, no.5, pp.1397-1402, 2019 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 5
  • Publication Date: 2019
  • Doi Number: 10.2298/fil1905397s
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1397-1402
  • Keywords: Absolutely lacunary summable, Almost convergence, Strongly lacunary almost summability
  • Uşak University Affiliated: Yes

Abstract

In this paper we study some new sequence spaces of strongly lacunary almost summable sequences, which naturally come up for investigation and which will fill up a gap in the existing literature. Some topological results, a characterization of strongly lacunary almost regular matrices, uniqueness of generalized limits and inclusion relations of such sequences have been observed.