EN
TR
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
References
- [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.
Details
Primary Language
English
Subjects
Experimental Mathematics
Journal Section
Research Article
Early Pub Date
December 16, 2025
Publication Date
December 24, 2025
Submission Date
April 24, 2025
Acceptance Date
October 27, 2025
Published in Issue
Year 1970 Volume: 9 Number: 2
