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-theoreti…
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.FA2022
Deferred statistical order convergence in Riesz spaces
Mehmet Küçükaslan, Abdullah Aydın
Some types of statistical convergence such as statistical order and deferred statistical convergences have been studied and investigated in Riesz spaces, recently. In this paper, w…