Some inequalities for trigonometric polynomials and fourier coefficients

被引：0
|
作者：
Zhuk V.V. [1 ]
Puerov G.Y. [2 ]
机构：
[1] St.Petersburg State University, St.Petersburg
[2] JSC “Concern ‘Oceanpribor’” St.Petersburg, ITMO University, St.Petersburg
来源：
Journal of Mathematical Sciences | 2015年 / 207卷 / 6期
关键词：
Fourier Coefficient; Trigonometric Polynomial; Bernstein Inequality; Steklov Function; Theorem Concern Power Series;
D O I：
10.1007/s10958-015-2409-2
中图分类号：
学科分类号：
摘要：
The Bernstein inequalities for trigonometric polynomials are generalized. For sums of Fourier coefficients, upper bounds with certain constants in terms of quantities characterizing structural properties of functions are obtained. Bibliography: 9 titles. © 2015, Springer Science+Business Media New York.
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页码：845 / 856
页数：11
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