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Statistical Convergence in Function Spaces with Semi-Uniform Topologies
Abstract
In this work, we focus on investigating statistical convergence in function spaces equipped with semi-uniform convergence topologies. We provide a comparative analysis of pointwise and uniform statistical convergence under these topological structures and investigate the conditions that allow transitions between these types of convergence.
Keywords
Kaynakça
- [1] Kelley, J. L. (1975). General Topology, Springer, New York–Berlin.
- [2] Bourbaki, N. (1989). General Topology, Springer, Berlin.
- [3] Husek, M. (1964). Generalized proximity and uniform spaces I, Comment. Math. Univ. Carolinae, 5, 247–266.
- [4] Husek, M. (1965). Generalized proximity and uniform spaces II, Comment. Math. Univ. Carolinae, 6, 119–139.
- [5] Čech, E. (1966). Topological Spaces (revised by Z. Frolík and M. Katětov), Academia Publishing House of the Czechoslovak Academy of Sciences, Prague.
- [6] Page, W. (1989). Topological Uniform Structures, Dover Publications Inc., New York.
- [7] Fast, H. (1951). Sur la convergence statistique, Colloq. Math. 2, 241–244.
- [8] Steinhaus, H. (1951). Sur la convergence ordinaire et la convergence asymptotique, Colloq. Math. 2, 73–74.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Deneysel Analiz
Bölüm
Araştırma Makalesi
Erken Görünüm Tarihi
16 Aralık 2025
Yayımlanma Tarihi
24 Aralık 2025
Gönderilme Tarihi
24 Nisan 2025
Kabul Tarihi
27 Ekim 2025
Yayımlandığı Sayı
Yıl 1970 Cilt: 9 Sayı: 2