Estimates for Norms of Random Polynomials
| dc.creator | Grigoriev, Pavel | |
| dc.date | 2002-10-22 | |
| dc.date.accessioned | 2026-07-07T04:52:14Z | |
| dc.date.available | 2026-07-07T04:52:14Z | |
| dc.description | This paper contains some estimates for the {\it integral-uniform} norm and the uniform norm of a wide class of random polynomials. The family of integral-uniform norms introduced by Kasin and Tzafriri is a natural generalization of the maximum norm taken over a net. We prove some properties of the integral-uniform norms. The given application of the established estimates demonstrates that the integral-uniform norms may be useful whenever one is interested in the properties of a function distribution. Key words: integral-uniform norm; random polynomials with respect to a general function system; trigonometric polynomials with random coefficients. | |
| dc.description | Almost the same text was published in East J. Approximation 2001 v. 7 no. 4 pp. 445--469 | |
| dc.identifier | https://arxiv.org/abs/math/0210342 | |
| dc.identifier | http://arxiv.org/abs/math/0210342 | |
| dc.identifier | East Journal of Approximation 2001 v. 7 no. 4 pp.445--469 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65391 | |
| dc.subject | Probability | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 60G99; 60G70; 26D15 | |
| dc.title | Estimates for Norms of Random Polynomials | |
| dc.type | text |