对Dirichlet判别法必要性证明的探讨

Discussion on Proof for Necessity of Dirichlet Criterion

通过对复变数复值函数级数与含参变量广义积分一致收敛的Dirichlet判别法必要性的证明 ,将文献[1]中的证明方法进行了改进 。

In this paper,we improve the proof for the necessity of Dirichlet criterion in by considering the uniform convergence for a series of real?or complex?valued functions having a commom domain on the real line or in the complex plane as well as for parameter?dependent improper integrals,and a more general proof is given.