Some new sequence spaces defined by bounded variation in 2-normed spaces

SAVAŞ E.

Filomat, vol.33, no.2, pp.483-492, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.2298/fil1902483s
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.483-492
  • Keywords: 2-normed space, Bounded variation, Orlicz function, Paranorm, Sequence space
  • Uşak University Affiliated: Yes

Abstract

In this paper, by using Orlicz function and almost lacunary bounded variation we introduce and examine a new sequence space in 2- normed spaces. We also study some basic topological and algebraic properties of these spaces. In addition, we shall established inclusion theorems between these sequence spaces.