Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 99-106
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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/
@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},
year = {1969},
volume = {5},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a12/}
}
TY - JOUR
AU - B. S. Mityagin
TI - Two inequalities for volumes of convex bodies
JO - Matematičeskie zametki
PY - 1969
SP - 99
EP - 106
VL - 5
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a12/
LA - ru
ID - MZM_1969_5_1_a12
ER -
%0 Journal Article
%A B. S. Mityagin
%T Two inequalities for volumes of convex bodies
%J Matematičeskie zametki
%D 1969
%P 99-106
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a12/
%G ru
%F MZM_1969_5_1_a12
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.
