函数项级数非一致收敛判别方法的归纳分析

Inductive Analysis of the Judging Methods of Function Series of Non-Consistent Convergence

关于函数项级数非一致收敛判别方法的研究有不少的文献都曾讨论过.但是仅仅给出几种方法,还不能令人满意.通过对函数项级数一致收敛的定义及其性质的综合归纳分析,给出了判定某些函数项级数在某一区间内非一致收敛的三种基本而又简便的方法,可解决有关函数项级数非一致收敛的几种问题,具有一定的学术参考价值.

A number of research have been done on the judging methods of function series of non-consistent convergence. But the given methods are not satisfactory. Three basic and easy methods are presented by inducting and analyzing the definition and properties of the function series of Non-Consistent convergence to determine the progression of certain functions in a range of non-consistent convergence, which will solve several problems relating to the function series of non-consistent convergence.