Geodesic
A generalization of the Denjoy integral
Matematičeskie zametki, Tome 62 (1997) no. 5, pp. 766-772.

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We prove that the Iseki $M$-integral is substantially more general than the Denjoy integral. 
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V. A. Skvortsov; A. P. Solodov. A generalization of the Denjoy integral. Matematičeskie zametki, Tome 62 (1997) no. 5, pp. 766-772. http://geodesic.mathdoc.fr/item/MZM_1997_62_5_a12/

[1] Iseki K., “An attempt to generalize the Denjoy integration”, Natur. Sci. Rep. Ochanomizu Univ., 34:1 (1983), 19–33 | MR | Zbl

[2] Ene V., Real Functions – Current Topics, Lecture Notes in Math., 1603, Spriger, Berlin, 1995 | MR | Zbl

[3] Saks S., Teoriya integrala, IL, M., 1949

[4] Iseki K., “On quasi-Denjoy integration”, Proc. Japan Acad. Ser. A. Math. Sci., 38 (1962), 252–257 | MR | Zbl

[5] Foran J., “Differentiation and Luzin's condition (N)”, Real Anal. Exchange, 3:1 (1977–78), 34–37

[6] Bongiorno B., Preiss D., “An unusual descriptive definition of integral”, Contemp. Math., 42 (1985), 13–22 | MR | Zbl