Random linear combinations of functions from $L_1$
Probability
2007-05-23 v1 Classical Analysis and ODEs
Abstract
In the paper I study properties of random polynomials with respect to a general system of functions. Some lower bounds for the mathematical expectation of the uniform and recently introduced integral-uniform norms of random polynomials are established. {\sc Key words and phrases:} Random polynomial, estimates for maximum of random process, integral-uniform norm.
Cite
@article{arxiv.math/0210341,
title = {Random linear combinations of functions from $L_1$},
author = {Pavel Grigoriev},
journal= {arXiv preprint arXiv:math/0210341},
year = {2007}
}
Comments
To be puslished in Mathematical Notes