On the Perron--Stieltjes integral
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 39-47
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We establish some properties of the Perron–Stieltjes integral introduced by A. J. Ward and prove a theorem about the integrability of a sequence of functions for this integral. This theorem is new for the Danjoy–Perron integral too.
@article{VMUMM_1982_3_a10,
author = {T. P. Lukashenko},
title = {On the {Perron--Stieltjes} integral},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {39--47},
publisher = {mathdoc},
number = {3},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a10/}
}
T. P. Lukashenko. On the Perron--Stieltjes integral. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 39-47. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a10/