函数项级数一致收敛判别方法初探

Preliminary studies on uniform convergence of series of functions

函数项级数的一致收敛性是函数级数概念当中最基本最重要的问题。函数级数和函数的分析性质一致收敛有关。讨论了函数级数一致收敛的魏尔斯特拉斯判别法(M判别法)。在魏尔斯特拉斯判别法的基础上给出两个有用的推论。

Uniform convergence of ceries of functions is fundamental and most important questions which the concept of function series.Function series is related with the analytic properties of the function of uniform convergence.This article discusses Weiestrass Discriminant Method of uniform convergence of function series.Based on the Weiestrass Discriminant Method,we proposed two useful conclusions.