Abstract

In the present paper, we have proved a basic theorem on the absolute Riesz summability factors of infinite series by using a wider class of power increasing sequences and then we applied this new result to the trigonometric Fourier series. Some new results are also obtained concerning the factored infinite series and trigonometric Fourier series.

中文翻译：

---

更广泛的功率递增序列的新应用

摘要

在本文中，我们通过使用更广泛的幂递增序列证明了无限级数的绝对 Riesz 可和因子的基本定理，然后我们将这个新结果应用于三角傅立叶级数。关于因式无穷级数和三角傅里叶级数也得到了一些新的结果。