Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 327-338
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V. I. Berdyshev. A relation between Jensen's inequality and a geometrical problem. Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 327-338. http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a11/
@article{MZM_1968_3_3_a11,
author = {V. I. Berdyshev},
title = {A~relation between {Jensen's} inequality and a~geometrical problem},
journal = {Matemati\v{c}eskie zametki},
pages = {327--338},
year = {1968},
volume = {3},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a11/}
}
TY - JOUR
AU - V. I. Berdyshev
TI - A relation between Jensen's inequality and a geometrical problem
JO - Matematičeskie zametki
PY - 1968
SP - 327
EP - 338
VL - 3
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a11/
LA - ru
ID - MZM_1968_3_3_a11
ER -
%0 Journal Article
%A V. I. Berdyshev
%T A relation between Jensen's inequality and a geometrical problem
%J Matematičeskie zametki
%D 1968
%P 327-338
%V 3
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a11/
%G ru
%F MZM_1968_3_3_a11
A relation is established between Jensen's inequality and a problem suggested by H. Jung concerning the size of the smallest sphere containing a set of given diameter. An estimate is obtained of the size of this sphere in terms of the absolute value of the convexity of the space.
