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Random Linear Combinations of Functions from L 1

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Abstract

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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Grigor'ev, P.G. Random Linear Combinations of Functions from L 1 . Mathematical Notes 74, 185–211 (2003). https://doi.org/10.1023/A:1025000107138

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