The S. N. Bernstein inequalities in the multidimensional case
Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 462-470
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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)).
@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/}
}
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/