Two inequalities for volumes of convex bodies
Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 99-106
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Precise upper and lower bounds are given for that portion of a convex body cut off from the latter, in $n$-dimensional space, by a hyperplane passing through its centroid; a bound is also given for the whole volume in terms of relative $n$-diameters of Bernstein type.
@article{MZM_1969_5_1_a12,
author = {B. S. Mityagin},
title = {Two inequalities for volumes of convex bodies},
journal = {Matemati\v{c}eskie zametki},
pages = {99--106},
publisher = {mathdoc},
volume = {5},
number = {1},
year = {1969},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a12/}
}
B. S. Mityagin. Two inequalities for volumes of convex bodies. Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 99-106. http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a12/