On lacunary strong invariant convergence with order γ

SAVAŞ E.

Filomat, vol.38, no.32, pp.11325-11331, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 32
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2432325s
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.11325-11331
  • Keywords: invariant convergence, Lacunary sequence, Modulus function, order γ
  • Uşak University Affiliated: Yes

Abstract

We known that the most vital part of summability theory is the sequence spaces. In this paper by using a modulus and the ρ-function we shall introduce the new sequence space of order γ and also discuss some important properties related to this space. Additional we establish some inclusion relations among the these sequence spaces in some detail. We should strongly indicate that our new sequence space is more general than that of corresponding sequence space defined by Waszak, [25].