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.
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页码：555 / 561
页数：7
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