Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 261-269
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Yu. V. Kozachenko. Local properties of sums of certain random series. Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 261-269. http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a3/
@article{MZM_1968_3_3_a3,
author = {Yu. V. Kozachenko},
title = {Local properties of sums of certain random series},
journal = {Matemati\v{c}eskie zametki},
pages = {261--269},
year = {1968},
volume = {3},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a3/}
}
TY - JOUR
AU - Yu. V. Kozachenko
TI - Local properties of sums of certain random series
JO - Matematičeskie zametki
PY - 1968
SP - 261
EP - 269
VL - 3
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a3/
LA - ru
ID - MZM_1968_3_3_a3
ER -
%0 Journal Article
%A Yu. V. Kozachenko
%T Local properties of sums of certain random series
%J Matematičeskie zametki
%D 1968
%P 261-269
%V 3
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a3/
%G ru
%F MZM_1968_3_3_a3
Conditions are given which insure the uniform convergence of random series of the form $S(x)=\sum_{n=0}^\infty\xi_nP_n(x)$ , where $P_n(x)$ is a trigonometric polynomial of degree $n$. Conditions are also given under which $S(x)$ satisfies Hölder's conditions.
