Abstract In this paper, firstly we proved a general theorem dealing with absolute Riesz summability factors of infinite series under weaker conditions. And secondly we applied it to the trigonometric Fourier series. Also we have obtained some new and known results.

中文翻译：

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无穷级数和三角傅立叶级数的某些新因子定理

摘要 本文首先证明了一个处理较弱条件下无穷级数的绝对Riesz可和因子的一般定理。其次，我们将其应用于三角傅立叶级数。我们还获得了一些新的和已知的结果。