Geodesic
Two inequalities for volumes of convex bodies
Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 99-106.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     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/}
}
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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/