Geodesic
A Constructive Definition of the Approximately Continuous Denjoy Integral
Canadian mathematical bulletin, Tome 15 (1972) no. 1, pp. 103-108

Voir la notice de l'article provenant de la source Cambridge University Press

The author has defined [2] the approximately continuous Denjoy integral (AD-integral) which includes exactly the general Denjoy integral and the AP-integral defined by Burkill [2].The aim of this paper is to give a constructive definition of the AD-integral. 
Kubota, Y. A Constructive Definition of the Approximately Continuous Denjoy Integral. Canadian mathematical bulletin, Tome 15 (1972) no. 1, pp. 103-108. doi: 10.4153/CMB-1972-018-7
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[1] 1. Burkill, J. C., The approximately continuous Perron integral, Math. Z. 34 (1931), 270-278. Google Scholar

[2] 2. Kubota, Y., An integral of the Denjoy type. I, II, III, Proc. Japan Acad. 40 (1964), 713-717; 42 (1966), 737-742; 43 (1967), 441-444. Google Scholar

[3] 3. Kubota, Y., A characterization of the approximately continuous Denjoy integral, Canad. J. Math. 22 (1970), 219-226. Google Scholar

[4] 4. Saks, S., Theory of the integral, G. E. Stechert, New York, 1937. Google Scholar

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