Abstract
In this paper the class of improvable functions is defined and the basic properties of such functions is examined. Moreover, a necessary and sufficient condition under which a set \(A\) is the set of points of continuity of some \(\alpha\)-improvable discontinuous function is given and it is shown that the classes \(\mathcal{A}_\alpha\) and \(\mathcal{A}_\beta\) are different when \(\alpha \neq \beta\).
Citation
Aleksandra Katafiasz. "Improvable discontinuous function." Real Anal. Exchange 21 (2) 407 - 423, 1995/1996.
Information
