Inequalities of Bernstein and Jackson-Nikol’skii type and estimates of the norms of derivatives of Dirichlet kernels

被引：0

作者：

M. B. Sikhov

机构：

[1] Al-Farabi Kazakh State National University,

来源：

Mathematical Notes | 2006年 / 80卷

关键词：

Bernstein-type inequality; Jackson-Nikol’skii inequality; Dirichlet kernel; trigonometric polynomial; spectrum of a polynomial; hyperbolic cross;

D O I：

暂无

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学科分类号：

摘要：

We obtain Bernstein and Jackson-Nikol’skii inequalities for trigonometric polynomials with spectrum generated by the level surfaces of a function Λ(t), and study their sharpness under a specific choice of Λ(t). Estimates of the norms of derivatives of Dirichlet kernels with harmonics generated by the level surfaces of the function Λ(t) are established in Lp.

引用

页码：91 / 100

页数：9

共 10 条

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