Equal Integrals of Functions
Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 200-204
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Let f 1, . . . , fk be finitely many L 1-functions on a measurable set E, and let d and r be numbers such that ∫E, fj, — d > r > 0 for all j. Then there is a measurable subset S of E such that ∫s fj = r for all j.
Cater, F. S. Equal Integrals of Functions. Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 200-204. doi: 10.4153/CMB-1985-022-0
@article{10_4153_CMB_1985_022_0,
author = {Cater, F. S.},
title = {Equal {Integrals} of {Functions}},
journal = {Canadian mathematical bulletin},
pages = {200--204},
year = {1985},
volume = {28},
number = {2},
doi = {10.4153/CMB-1985-022-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-022-0/}
}
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