弱一致收敛及其性质

Weak Uniform Convergence And Its Property

在分析中,函数列与级数有很多性质是在一致收敛的条件下存在的,并且,一致收敛并非是这些性质成立的充要条件.笔者将建立一种条件较弱的收敛,不仅可得到一些较好的性质,而且可成为上述某些性质成立的充要条件.

in this paper, we have built a convergend whose condition is weakerthan uniform convergence-weak uniform convergence, under which compared with uniform convergence and discussed the sequence of function and series and lebesgue integral's some property.