New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences


Listán-García M. C., Kişi Ö., GÜRDAL M.

Mathematics, cilt.13, sa.1, 2025 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3390/math13010164
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: J-lacunary statistical Cauchy, J-lacunary statistical cluster point, J-lacunary statistical limit point, L*-lacunary statistical Cauchy, multiset sequences
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

This paper explores the concepts of (Formula presented.) -lacunary statistical limit points, (Formula presented.) -lacunary statistical cluster points, and (Formula presented.) -lacunary statistical Cauchy multiset sequences. Building upon previous work in the field, we investigate the relationships between (Formula presented.) -lacunary statistical convergence and (Formula presented.) -lacunary statistical convergence in multiset sequences. The findings contribute to a deeper understanding of the convergence behaviour of multiset sequences and provide new insights into the application of ideal convergence in this context.