因子化傅里叶级数绝对可和性的局部性
On local property of absolute summability of factored Fourier series
摘要：
利用最近定义的绝对可和性$\left\vert A,α_{n}\right\vert _{k}$和类$\mathcal{S}\left( α_{n},ϕ_{n}\right) $，建立了因子化傅里叶级数绝对可和性局部性质的两个一般定理，推广了一些已知结果，并可用于改进许多经典的绝对可和性方法.
英文摘要：
We establish two general theorems on the local properties of the absolute summability of factored Fourier series by applying a recently defined absolute summability, $\left\vert A,α_{n}\right\vert _{k}$ summability, and the class $\mathcal{S}\left( α_{n},ϕ_{n}\right) $, which generalize some well known results and can be applied to improve many classical absolute summability methods.
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