Estimates for norms of random polynomials and their application

被引：2

作者：

Grigoriev, PG ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 2001年 / 69卷 / 5-6期

关键词：

integral-uniform norm; random polynomials with respect to a general orthogonal system;

D O I：

10.1023/A:1010251003368

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper contains some estimates for the integral--uniform and uniform norms of random polynomials. The integral--uniform norm introduced in [5] is a natural generalization of the maximum norm taken over a net. Some elementary properties of the integral--uniform norm are presented. Also an application of the established estimates is given.

引用

页码：868 / 872

页数：5

共 8 条

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[2] Kahane J.-P., 1968, SOME RANDOM SERIES F
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[4] KASHIN B, 1995, LOWER ESTIMATES SUPR, V2, P95
[5] KASHIN B, 1995, E J APPROX, V1, P125
[6] LEDOUX M, 1991, PROBABILITY BANACH S
[7] Marcus M. B., 1981, RANDOM FOURIER SERIE
[8] SOME PROPERTIES OF TRIGONOMETRIC SERIES WHOSE TERMS HAVE RANDOM SIGNS - DEDICATED TO STEINHAUS,HUGO FOR HIS 65TH BIRTHDAY
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ZYGMUND, A
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