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Statistical Convergence in Function Spaces with Semi-Uniform Topologies
Öz
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.
Anahtar Kelimeler
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 2025 Cilt: 9 Sayı: 2
APA
Osmanoğlu, İ., & Minaz, S. (2025). Statistical Convergence in Function Spaces with Semi-Uniform Topologies. Aksaray University Journal of Science and Engineering, 9(2), 78-83. https://doi.org/10.29002/asujse.1682667
AMA
1.Osmanoğlu İ, Minaz S. Statistical Convergence in Function Spaces with Semi-Uniform Topologies. Aksaray J. Sci. Eng. 2025;9(2):78-83. doi:10.29002/asujse.1682667
Chicago
Osmanoğlu, İsmail, ve Serdar Minaz. 2025. “Statistical Convergence in Function Spaces with Semi-Uniform Topologies”. Aksaray University Journal of Science and Engineering 9 (2): 78-83. https://doi.org/10.29002/asujse.1682667.
EndNote
Osmanoğlu İ, Minaz S (01 Aralık 2025) Statistical Convergence in Function Spaces with Semi-Uniform Topologies. Aksaray University Journal of Science and Engineering 9 2 78–83.
IEEE
[1]İ. Osmanoğlu ve S. Minaz, “Statistical Convergence in Function Spaces with Semi-Uniform Topologies”, Aksaray J. Sci. Eng., c. 9, sy 2, ss. 78–83, Ara. 2025, doi: 10.29002/asujse.1682667.
ISNAD
Osmanoğlu, İsmail - Minaz, Serdar. “Statistical Convergence in Function Spaces with Semi-Uniform Topologies”. Aksaray University Journal of Science and Engineering 9/2 (01 Aralık 2025): 78-83. https://doi.org/10.29002/asujse.1682667.
JAMA
1.Osmanoğlu İ, Minaz S. Statistical Convergence in Function Spaces with Semi-Uniform Topologies. Aksaray J. Sci. Eng. 2025;9:78–83.
MLA
Osmanoğlu, İsmail, ve Serdar Minaz. “Statistical Convergence in Function Spaces with Semi-Uniform Topologies”. Aksaray University Journal of Science and Engineering, c. 9, sy 2, Aralık 2025, ss. 78-83, doi:10.29002/asujse.1682667.
Vancouver
1.İsmail Osmanoğlu, Serdar Minaz. Statistical Convergence in Function Spaces with Semi-Uniform Topologies. Aksaray J. Sci. Eng. 01 Aralık 2025;9(2):78-83. doi:10.29002/asujse.1682667