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1995/1996 A new full descriptive characterization of Denjoy-Perron integral
Benedetto Bongiorno, Valentin Skvortsov
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Real Anal. Exchange 21(2): 656-663 (1995/1996).


It is proved that the absolute continuity of the variational measure generated by an additive interval function \(F\) implies the differentiability almost everywhere of the function \(F\) and gives a full descriptive characterization of the Denjoy-Perron integral.


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Benedetto Bongiorno. Valentin Skvortsov. "A new full descriptive characterization of Denjoy-Perron integral." Real Anal. Exchange 21 (2) 656 - 663, 1995/1996.


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

zbMATH: 0879.26026
MathSciNet: MR1407278

Primary: 26A39 , 26A42 , 26A45

Keywords: Denjoy-Perron integral , Henstock-Kurzweil integral , variational measure

Rights: Copyright © 1995 Michigan State University Press

Vol.21 • No. 2 • 1995/1996
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