傅里叶级数的求和理论与方法

摘要

In this paper, we construct a new integral operator Hn(f;k,x) through Dirichlet integral operator in Fourier series. The approximation order of Hn(f; k,x) is the best for f(x)∈Cj2π, 0jk (where k is an arbitrary natural number).%通过Dirichlet积分算子构造了一个新的积分算子Hn(f; k,x). 对于f(x)∈Cj2π, 0jk (其中k为任意自然数),Hn(f; k,x)的逼近阶达到了最佳.