Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 462-470
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A. V. Prokhorov. The S. N. Bernstein inequalities in the multidimensional case. Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 462-470. http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a4/
@article{TVP_1968_13_3_a4,
author = {A. V. Prokhorov},
title = {The {S.} {N.~Bernstein} inequalities in the multidimensional case},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {462--470},
year = {1968},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a4/}
}
TY - JOUR
AU - A. V. Prokhorov
TI - The S. N. Bernstein inequalities in the multidimensional case
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1968
SP - 462
EP - 470
VL - 13
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a4/
LA - ru
ID - TVP_1968_13_3_a4
ER -
%0 Journal Article
%A A. V. Prokhorov
%T The S. N. Bernstein inequalities in the multidimensional case
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1968
%P 462-470
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a4/
%G ru
%F TVP_1968_13_3_a4
Inequalities (2.2) and (2.3) are derived which are extensions of S. N. Bernstein's inequalities to the multidimensional case. Analysis of the inequalities obtained shows that their exponential factors are very close to those for the normal case (cf. (1.1) and (1.3)).
