Abstract
AbstractWe define the $$L^r$$
L
r
-variational integral and we prove that it is equivalent to the $$HK_r$$
H
K
r
-integral defined in 2004 by P. Musial and Y. Sagher in the Studia Mathematica paper The$$L^{r}$$
L
r
-Henstock–Kurzweil integral. We prove also the continuity of $$L^r$$
L
r
-variation function.
Publisher
Springer Science and Business Media LLC
Reference17 articles.
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