A generalization of the Lebesgue density theorem via modulus density

H. S. Behmanush, M. Küçükaslan

In this paper, we introduce the notion of a ${\hat{I}}^3$-density point for Lebesgue-measurable subsets of $\mathbb{R}$, where ${\hat{I}}^3$ is a modulus function, and study its basic measure-theore…