递延Riesz均值傅里叶级数的局部性质

IF 0.4 Q4 MATHEMATICS
P. Pattanaik, S. K. Paikray, Biplab Kumar Rath
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引用次数: 0

摘要

函数的傅立叶级数在一点上的收敛性取决于该函数在该点附近的行为,这导致了傅立叶级数的局部性质。在这项工作中,我们引入并研究了延迟Riesz可和性均值的绝对收敛性,并据此建立了一个关于因子傅立叶级数局部性质的新定理。我们还提出了未来这一主题的研究方向,这些研究基于傅立叶级数的局部性质,通过统计绝对收敛的基本概念。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Local properties of fourier series via deferred Riesz mean
The convergence of Fourier series of a function at a point depends upon the behaviour of the function in the neighborhood of that point, and it leads to the local property of Fourier series. In the proposed work, we introduce and study the absolute convergence of the deferred Riesz summability mean, and accordingly establish a new theorem on the local property of a factored Fourier series. We also suggest a direction for future researches on this subject, which are based upon the local properties of the Fourier series via basic notions of statistical absolute convergence.
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
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