摘要
本文讨论了函数列{fn(x)}具有等度绝对连续积分与几乎处处收敛的关系,且证明了{fn(x)}具有等度绝对连续积分的一个充要条件。
In this paper,Ⅰdiscuss the relation between the absolutely equicontinuous integral of sequence of functions{fn(x)}and almost everywhere converge of the sequence and gives a neaessary and sufficient condition for the absolutely equicontinuous integral of sequence of functions{fn(x)}.
出处
《内蒙古民族大学学报(自然科学版)》
1996年第1期67-71,共5页
Journal of Inner Mongolia Minzu University:Natural Sciences
关键词
可积函数
等度绝对连续积分
几乎处处收敛
integrqble functions
absolutely equicontinuous integral
almost every where converge.