On the Absolute Convergence of Fourier Series of Almost Periodic Functions

IF 0.5 Q3 MATHEMATICS
Yu. Kh. Khasanov, F. M. Talbakov
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引用次数: 0

Abstract

The paper investigates sufficient conditions for the absolute convergence of trigonometric Fourier series of almost-periodic functions in the sense of Besikovitch in the case when the Fourier exponents have a single limiting point at infinity. A higher-order modulus of continuity is used as a structural characteristic of the function under consideration.

论几乎周期函数傅里叶级数的绝对收敛性
摘要 本文研究了贝西科维奇意义上的几乎周期函数的三角傅里叶级数绝对收敛的充分条件,即当傅里叶指数在无穷大处有单个极限点时。高阶连续性模数被用作所考虑函数的结构特征。
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来源期刊
Russian Mathematics
Russian Mathematics MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍: Russian Mathematics  is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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