3 papers
math.GN2026
A generalization of the Lebesgue density theorem via modulus density
H. S. Behmanush, M. Küçükaslan
In this paper, we introduce the notion of a -density point for Lebesgue-measurable subsets of , where is a modulus function, and study its basic measure-theore…
math.FA2025
Rough convergence on Riesz spaces
Abdullah Aydın, Mehmet Küçükaslan, Mokhwetha Mabula
This paper extends the theory of rough convergence from normed linear spaces to the more abstract setting of Riesz spaces. We introduce and systematically develop the concept of ro…
math.FA2024
Introducing Statistical Operators: Boundedness, Continuity, and Compactness
Erdal Bayram, Mehmet Küçükaslan, Mikail Et +1
Many studies have been conducted on statistical convergence, and it remains an area of active research. Since its introduction, statistical convergence has found applications many…