Random linear combinations of functions from $L_1$

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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.
To be puslished in Mathematical Notes

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Probability, Classical Analysis and ODEs, 60G99; 60G70; 26D15

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http://salesiana.dossiersoluciones.com/handle/123456789/65390

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210341
 http://arxiv.org/abs/math/0210341

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arXiv