Real Analysis Exchange
- Real Anal. Exchange
- Volume 23, Number 2 (1999), 491-524.
Hake-Alexandroff-Looman Type Theorems
In this paper we shall study three kinds of descriptive type integrals, that all generalize the wide Denjoy integral. In fact the classes of primitives for these integrals, restricted to the continuous functions, are \(ACG\). We shall also study five kinds of Perron type integrals, that are all in a close relationship with the descriptive type integrals. In the last three sections we show some relationships between the descriptive type integrals and the Perron type integrals.
Real Anal. Exchange, Volume 23, Number 2 (1999), 491-524.
First available in Project Euclid: 14 May 2012
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Ene, Vasile. Hake-Alexandroff-Looman Type Theorems. Real Anal. Exchange 23 (1999), no. 2, 491--524. https://projecteuclid.org/euclid.rae/1337001361