Lacunary statistical convergent functions via ideals with respect to the intuitionistic fuzzy normed spaces

SAVAŞ E.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, vol.10, no.Specialissue, pp.38-46, 2020 (ESCI, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: Specialissue
  • Publication Date: 2020
  • Journal Name: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.38-46
  • Keywords: Filter, I-lacunary statistical convergence, I-statistical convergence, Ideal, Intuitionistic fuzzy normed spaces
  • Uşak University Affiliated: Yes

Abstract

In this paper, we introduce the notion I-statistical convergence and I-lacunary statistical convergence of a nonnegative real-valued Lebesque measurable function in the interval (1,∞) with respect to the intuitionistic fuzzy norm (μ, v), investigate their relationship and make some observations about these classes.