判别函数列一致收敛的两种新方法

Two Methods for Judging the Uniformly Convergence of Sequence of Functoins

两个判断一致收敛的新方法:设对每一个n,函数fn(x)在某闭区间上单调或连续,若该函数列{fn(x)}在该闭区间上收敛于连续函数f(x),则该函数列{fn(x)}必一致收敛于f(x)。

This paper introduces two methods to distinguisth the uniformly convergence of sequence of functoins： if the sequence of functions {fn（x）} is monotone sequence or continuous sequence in some closed interval and if this sequence is convergent to a continuous function f（x） on a closed interval, then the sequence must uniformly converge to f（x） .