关于函数项级数一致收敛性判定的讨论

Discussion On Uniformly Convergence Criterion for Function Series

利用数列对函数项级数定义进行推广,对比数项级数和函数项级数及判别法,给出了类似数项级数的函数项级数一致收敛判别法——比式判别法和根式判别法,同时举例验证判别法的有效性.

The definition of function term＇s uniformly convergence is extended by number sequence.Through comparison between infinite series and function series,the ratio test and radical test,for uniformly convergence of function series are obtained.Finally,the example is taken for showing the effectiveness of these tests.