On an inequality of Sidon type for trigonometric polynomials

被引：5

作者：

Radomskii, A. O. ^{[1
]}

机构：

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

来源：

MATHEMATICAL NOTES | 2011年 / 89卷 / 3-4期

关键词：

trigonometric polynomial; Sidon inequality; lacunary sequence; lacunarity index; Vallee-Poussin kernel;

D O I：

10.1134/S0001434611030266

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a lower bound for the uniform norm of the trigonometric polynomial of special form via the sum of the L (1)-norms of its summands. This result generalizes a theorem due to Kashin and Temlyakov, which, in turn, generalizes the classical Sidon inequality.

引用

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页码：555 / 561

页数：7

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