We present a descriptive definition of a multidimensional generalized Riemann integral based on a concept of generalized absolute continuity for additive functions of sets of bounded variation.
@article{118488,
author = {B. Bongiorno and Washek Frank Pfeffer},
title = {A concept of absolute continuity and a Riemann type integral},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {33},
year = {1992},
pages = {189-196},
zbl = {0776.26011},
mrnumber = {1189651},
language = {en},
url = {http://dml.mathdoc.fr/item/118488}
}
Bongiorno, B.; Pfeffer, Washek Frank. A concept of absolute continuity and a Riemann type integral. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 189-196. http://gdmltest.u-ga.fr/item/118488/
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