In this article, we define the Riemann integral on functions from R into real normed space and prove the linearity of this operator. As a result, the Riemann integration can be applied to a wider range of functions. The proof method follows the [16].
@article{bwmeta1.element.doi-10_2478_v10037-011-0003-8,
author = {Keiichi Miyajima and Takahiro Kato and Yasunari Shidama},
title = {Riemann Integral of Functions from R into Real Normed Space},
journal = {Formalized Mathematics},
volume = {19},
year = {2011},
pages = {17-22},
zbl = {1276.26025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-011-0003-8}
}
Keiichi Miyajima; Takahiro Kato; Yasunari Shidama. Riemann Integral of Functions from R into Real Normed Space. Formalized Mathematics, Tome 19 (2011) pp. 17-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-011-0003-8/
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