Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 1, pp. 106-107
Citer cet article
V. V. Yurinskii. On an infinite-dimensional version of S. N. Bernstein's inequalities. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 1, pp. 106-107. http://geodesic.mathdoc.fr/item/TVP_1970_15_1_a7/
@article{TVP_1970_15_1_a7,
author = {V. V. Yurinskii},
title = {On an infinite-dimensional version of {S.} {N.~Bernstein's} inequalities},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {106--107},
year = {1970},
volume = {15},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_1_a7/}
}
TY - JOUR
AU - V. V. Yurinskii
TI - On an infinite-dimensional version of S. N. Bernstein's inequalities
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1970
SP - 106
EP - 107
VL - 15
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1970_15_1_a7/
LA - ru
ID - TVP_1970_15_1_a7
ER -
%0 Journal Article
%A V. V. Yurinskii
%T On an infinite-dimensional version of S. N. Bernstein's inequalities
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1970
%P 106-107
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1970_15_1_a7/
%G ru
%F TVP_1970_15_1_a7
Probability inequalities for sums of bounded independent random vectors in a Hilbert space are obtained. Reduction to one-ditnensieeal case yields a considerable simplification of the proofs.
