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Random linear combinations of functions from L1

Pavel Grigoriev

math.PRarXiv:math/0210341

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. Key words and phrases: Random polynomial, estimates for maximum of random process, integral-uniform norm.

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