Random Linear Combinations of Functions from $L_1$
Matematičeskie zametki, Tome 74 (2003) no. 2, pp. 192-220.

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In this paper, properties of random polynomials with respect to a general system of functions are studied. Some lower bounds for the mathematical expectation of the uniform norm and the recently introduced integral-uniform norm of random polynomials are established.
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P. G. Grigor'ev. Random Linear Combinations of Functions from $L_1$. Matematičeskie zametki, Tome 74 (2003) no. 2, pp. 192-220. http://geodesic.mathdoc.fr/item/MZM_2003_74_2_a2/

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