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Random linear combinations of functions from $L_1$

Pavel Grigoriev
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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.

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Pavel Grigoriev. 2002-10-22. Random linear combinations of functions from $L_1$. https://arxiv.org/abs/math/0210341

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