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

Abstract

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.

Citation

Download Citation

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

Information

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

zbMATH: 0879.26026
MathSciNet: MR1407278

Subjects:
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
Back to Top