Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in L0
被引:0
作者:
A. N. Adamov
论文数: 0引用数: 0
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机构:Odessa National University; Institute of Mathematics,
A. N. Adamov
机构:
[1] Odessa National University; Institute of Mathematics,
[2] Economy,undefined
[3] and Mechanics,undefined
来源:
Ukrainian Mathematical Journal
|
2009年
/
61卷
关键词:
Unit Circle;
Trigonometric Polynomial;
Trigonometric Series;
Integral Inequality;
Riemann Zeta Function;
D O I:
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学科分类号:
摘要:
We study inequalities of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in the quasinorm of L0 and derivatives of any order. We present expressions for constants in these inequalities and obtain double-sided estimates for them.