On the Henstock Strong Variational Integral
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 87-99
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The theory of integration in division spaces introduced by Henstock ([3], [4]) serves to unite and simplify much of the classical material on nonabsolute integration as well as to provide a new approach to Lebesgue integration. In this paper we sketch a simplified approach to the division space theory and show how it can lead rapidly to the standard Lebesgue-type theory without a substantial departure from the usual methods; some applications to integration in locally compact spaces are briefly developed.
Thomson, B. S. On the Henstock Strong Variational Integral. Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 87-99. doi: 10.4153/CMB-1971-016-7
@article{10_4153_CMB_1971_016_7,
author = {Thomson, B. S.},
title = {On the {Henstock} {Strong} {Variational} {Integral}},
journal = {Canadian mathematical bulletin},
pages = {87--99},
year = {1971},
volume = {14},
number = {1},
doi = {10.4153/CMB-1971-016-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-016-7/}
}
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