Statistical and uniformly statistical convergence of sequences of functions

Key Points

• This paper aims to explore the concepts of statistical convergence and uniform convergence for sequences of functions.
• Introduced statistical convergence for function sequences in a topological space.
• Defined statistical uniform convergence for function sequences within a uniform space.
• Examined relationships and special cases of these convergence concepts.
• Highlighted the refinement of statistical convergence through uniform convergence.
• Established connections between statistical convergence and uniform convergence.
• Illustrated special cases of the proposed convergence definitions.