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


Kişi Ö., GÜRDAL M., Choudhury C.

Acta Mathematica Universitatis Comenianae, cilt.93, sa.1, ss.41-58, 2024 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 93 Sayı: 1
  • Basım Tarihi: 2024
  • Dergi Adı: Acta Mathematica Universitatis Comenianae
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.41-58
  • Anahtar Kelimeler: ideal convergence, Intuitionistic normed spaces, Nörlund convergent space
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

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.