On deferred sequence spaces defined by invariant convergence

SAVAŞ E.

Filomat, vol.39, no.21, pp.7261-7269, 2025 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 21
  • Publication Date: 2025
  • Doi Number: 10.2298/fil2521261s
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.7261-7269
  • Keywords: deferred Cesàro mean, invariant means, modulus function, paranorm space
  • Uşak University Affiliated: Yes

Abstract

The main contribution of this paper is to define the notion of deferred Cesàro mean coming from modern summability methods by using invariant means and study some of its properties and also establish relations among these sequence spaces. These ideas and results are expected to be a source for researchers in the area of summability theory. In the end we can say that this concept can be generalized and applied for further studies.