Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space

KARAKAYA V., Simsek N., GURSOY F., ERTURK M.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, vol.26, no.3, pp.1289-1299, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 3
  • Publication Date: 2014
  • Doi Number: 10.3233/ifs-130815
  • Journal Name: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1289-1299
  • Keywords: Intuitionistic fuzzy normed spaces, statistical convergence, sequence of functions
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper we study lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. We define concept of lacunary statistical pointwise convergence and lacunary statistical uniform convergence in intuitionistic fuzzy normed spaces and we give some basic properties of these concepts.