Moments of the integral-uniform norm of polynomials with random coefficients. (Q556601)
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scientific article; zbMATH DE number 2177686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Moments of the integral-uniform norm of polynomials with random coefficients. |
scientific article; zbMATH DE number 2177686 |
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Moments of the integral-uniform norm of polynomials with random coefficients. (English)
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21 June 2005
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The author considers integral-uniform norms (and expectation of norms) for random polynomials, viz. polynomials whose random coefficients are independent jointly zero-mean random variables, defined on a probability space, with a certain expectation. The aim of the paper is to obtain improved (possibly best) upper bounds for higher moments, when the zero-mean random variables (representing the polynomial coefficients) accept heavier or lighter tails (e.g. exponentially decreasing distribution tails).
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random polynomial
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moment estimates
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zero-mean random variable
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Hölder inequality
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