Geodesic
Riemann-type definition for the~restricted Denjoy--Bohner integral
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 887-895.

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The generalization of the restricted Denjoy integral is studied for the case of Banach-valued functions. The equivalence between this integral and the HL-integral defined with the use of generalized Riemann sums is proved. 
@article{FPM_2001_7_3_a17,
     author = {A. P. Solodov},
     title = {Riemann-type definition for the~restricted {Denjoy--Bohner} integral},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {887--895},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a17/}
}
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A. P. Solodov. Riemann-type definition for the~restricted Denjoy--Bohner integral. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 887-895. http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a17/