极限点为0的概周期函数的傅里叶级数的绝对Cesáro可和性

IF 0.5 Q3 MATHEMATICS Ufa Mathematical Journal Pub Date : 2016-01-01 DOI:10.13108/2016-8-4-144
Y. Khasanov
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引用次数: 1

摘要

本文建立了Besicovitch空间中概周期函数的傅里叶级数的绝对Cesáro可和性的若干检验。当傅里叶指数的极限点为0时,作为所研究函数的结构特征,我们使用高阶平均模。
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On absolute Cesáro summablity of Fourier series for almost-periodic functions with limiting points at zero
In the paper we establish some tests for absolute Cesáro summability of the Fourier series for almost periodic functions in the Besicovitch space. We consider the case, when the Fourier exponents have a limiting point at zero and as a structure characteristics of the studied function, we use a high order averaging modulus.
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