摘要
本文引入了一类正则的Toeplits求和法,得到了对应的Fourier级数及其导级数的收敛定理。改进并拓广了[1]中的结果,最后给出了一个逼近定理。
In this paper,a regular Toeptits Summability:,is introduced,and a convergence theorem for Fourier series and its derivate is obtained. At last, an approximation theorem is given.
关键词
傅里叶级数
求和法
阿贝尔变换
mean Summation for Fourier series, Abel transform, regular.Toeplits summability,Riemam-Lebesque theorem.