The purpose of this paper is to give a simple and completely elementary proof that the derivative of the indefinite Riemann-complete integral equals the integrand almost everywhere. Elementary in this case means using the least amount of measure theory possible.
Publié le : 2002-05-14
Classification:
Henstock integral,
Riemann-complete integral,
indefinite integral,
and derivative.,
26A39
@article{1150118742,
author = {Botsko, Michael W.},
title = {A simple proof of the derivative of the indefinite Riemann-complete integral.},
journal = {Real Anal. Exchange},
volume = {28},
number = {1},
year = {2002},
pages = { 209-214},
language = {en},
url = {http://dml.mathdoc.fr/item/1150118742}
}
Botsko, Michael W. A simple proof of the derivative of the indefinite Riemann-complete integral.. Real Anal. Exchange, Tome 28 (2002) no. 1, pp. 209-214. http://gdmltest.u-ga.fr/item/1150118742/