On Nörlund I2-lacunary statistical convergence of double sequences in intuitionistic fuzzy normed spaces


Kişi Ö., GÜRDAL M., Choudhury C.

Acta Mathematica Universitatis Comenianae, vol.93, no.1, pp.41-58, 2024 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 93 Issue: 1
  • Publication Date: 2024
  • Journal Name: Acta Mathematica Universitatis Comenianae
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.41-58
  • Keywords: ideal convergence, Intuitionistic normed spaces, Nörlund convergent space
  • Süleyman Demirel University Affiliated: Yes

Abstract

Investigating the concepts of Nörlund I2-lacunary statistical convergence and extremely intuitionistic Nörlund I2-lacunary convergence of double sequence in intuitionistic fuzzy normed spaces (IFNS) is the goal of this article. Then, we introduce the concepts of Nörlund strongly I2 *}-lacunary convergence, Nörlund strongly I2-lacunary Cauchy, and Nörlund strongly I2 *}-lacunary Cauchy double sequences in IFNS and get astounding results.