$\mathcal{J}$-approximately continuous functions

Year, pages: 2015, 45 - 55

In this paper, density-like points and density-like topology connected with a sequence $\mathcal{J}=\{J_n\}_{n\in \mathbb N}$ of closed intervals tending to $0$ will be considered. We introduce the notion of an $\mathcal{J}$-approximately continuous function associated with this kind of density points. Moreover, we present some properties of these functions and we demonstrate their connection with continuous functions with respect to this kind of density topology.

Hejduk, J., Loranty, A., Wiertelak, R. 2015. $\mathcal{J}$-approximately continuous functions. In Tatra Mountains Mathematical Publications, vol. 62, no.1, pp. 45-55. 1210-3195.

Hejduk, J., Loranty, A., Wiertelak, R. (2015). $\mathcal{J}$-approximately continuous functions. Tatra Mountains Mathematical Publications, 62(1), 45-55. 1210-3195.