In the present paper we give the Fundamental Theorem of Calculus for the variational or Henstock vector integrals $^{K}\!\!\!\int_{\mathbb R} \alpha \, df$ and $^{K}\!\!\!\int_{\mathbb R} d\alpha \, f$ of multidimensional Banach space-valued functions.
Publié le : 1999-05-15
Classification:
Banach Space-Valued functions,
Henstock Integral,
Fundamental Theorem of Calculus,
26A39,
26B12
@article{1231187621,
author = {Federson, M\'arcia},
title = {The Fundamental Theorem of Calculus for Multidimensional Banach Space-Valued Henstock Vector Integrals},
journal = {Real Anal. Exchange},
volume = {25},
number = {1},
year = {1999},
pages = { 469-480},
language = {en},
url = {http://dml.mathdoc.fr/item/1231187621}
}
Federson, Márcia. The Fundamental Theorem of Calculus for Multidimensional Banach Space-Valued Henstock Vector Integrals. Real Anal. Exchange, Tome 25 (1999) no. 1, pp. 469-480. http://gdmltest.u-ga.fr/item/1231187621/