New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences

María C. Listán-García (), Ömer Kişi and Mehmet Gürdal
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María C. Listán-García: Department of Mathematics, Faculty of Science, University of Cádiz, 11510 Cádiz, Spain
Ömer Kişi: Department of Mathematics, Bartin University, 74100 Bartın, Turkey
Mehmet Gürdal: Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey

Mathematics, 2025, vol. 13, issue 1, 1-16

Abstract: This paper explores the concepts of J -lacunary statistical limit points, J -lacunary statistical cluster points, and J -lacunary statistical Cauchy multiset sequences. Building upon previous work in the field, we investigate the relationships between J -lacunary statistical convergence and J * -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.

Keywords: multiset sequences; \({\mathfrak{J}}\)-lacunary statistical Cauchy; \({\mathcal{I}^{\ast}}\)-lacunary statistical Cauchy; \({\mathfrak{J}}\)-lacunary statistical limit point; \({\mathfrak{J}}\)-lacunary statistical cluster point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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