实连续函数列的三种不同收敛性研究

Research on Three Different Convergences on Sequences of Real Continuous Functions

本文主要研究单位闭区间到自身的连续函数组成的函数列上的三种不同的收敛:点态收敛,一致收敛,Hausdorff收敛之间的关系,并得到相应的结果。

The paper is based on sequence of continuous functions which is a mapping on unit closed interval to unit closed interval and it mainly researched the relationship among three different kinds of convergences： the pointwise convergence, the uniform convergence, the Hausdorff convergence.