Real Analysis Exchange
- Real Anal. Exchange
- Volume 22, Number 1 (1996), 377-381.
Notes on the approximately continuous Henstock integral
There are two different definitions about the approximately continuous Henstock integral or \(AH\) integral, for short. In this paper we prove that they are equivalent, and that the \(AH\) integral is included in the \(AD\) integral defined by Kubota in 1964. Also we give a solution for the problem put forward by Gordon (1994, p. 255).
Real Anal. Exchange, Volume 22, Number 1 (1996), 377-381.
First available in Project Euclid: 1 June 2012
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 26A39: Denjoy and Perron integrals, other special integrals
Lu, Shipan. Notes on the approximately continuous Henstock integral. Real Anal. Exchange 22 (1996), no. 1, 377--381. https://projecteuclid.org/euclid.rae/1338515229