关于Leibniz型函数项级数的一致收敛判别法

On Uniform Convergence Criterion for Leibniz Type's Series with Function Terms

本文给出了Leibniz型函数项级数,并且应用Dini定理及Dirichlet定理证明是一致收敛的,它可作为Dirichlet定理的推广,是判别函数项级数一致收敛性的又一行之有效的新方法。

In this paper are given Leibniz type's series with function terms,and proved their uniform convergence by applying Dini theorem and Dirichlet theorem,which serves as the extension of Dirichlet theorem,and as a new effective method for discriminating uniform convergence of series with function terms.