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1995/1996 Improvable discontinuous function
Aleksandra Katafiasz
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Real Anal. Exchange 21(2): 407-423 (1995/1996).


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 \(\alpha \neq \beta\).


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Aleksandra Katafiasz. "Improvable discontinuous function." Real Anal. Exchange 21 (2) 407 - 423, 1995/1996.


Published: 1995/1996
First available in Project Euclid: 14 June 2012

zbMATH: 0879.26006
MathSciNet: MR1407258

Primary: 26A15

Keywords: improvable function

Rights: Copyright © 1995 Michigan State University Press

Vol.21 • No. 2 • 1995/1996
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