Outer Measures and Total Variation
Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 341-345
Voir la notice de l'article provenant de la source Cambridge University Press
In this note we collect some observations on the outer measures ψf and ψf that have been introduced in [4] and which describe the total variation of the function f. These properties have direct applications to the study of the derivative and the relative derivative. For definitions and notation the reader is referred to [4].
Thomson, B. S. Outer Measures and Total Variation. Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 341-345. doi: 10.4153/CMB-1981-051-0
@article{10_4153_CMB_1981_051_0,
author = {Thomson, B. S.},
title = {Outer {Measures} and {Total} {Variation}},
journal = {Canadian mathematical bulletin},
pages = {341--345},
year = {1981},
volume = {24},
number = {3},
doi = {10.4153/CMB-1981-051-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-051-0/}
}
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[4] 4. Thomson, B. S., On the total variation of a function, Canad. Math. Bull., Google Scholar
[5] 5. Saks, S., Theory of the Integral, Warsaw (1937). Google Scholar
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