摘要
收敛概念是从数列的收敛性到函数列的收敛性、级数收敛、积分序列的收敛性,即分析学研究的出发点就是收敛性。在现代分析中主要包括:几乎处处收敛,依测度收敛,强收敛,弱收敛等概念,文章对它们的定义和性质进行归纳,并讨论他们之间的关系和区别。
The restraining concept was from the sequence astringency to the letter sequence astringency, the series convergence, the integral sequence astringency. Namely the analytics research starting point is an astringency. Mainly includes in the modern analysis： Nearly everywhere restrains, according to measure restraining ,the strong convergence,concepts and so on weak convergence, this article discusses their definition and the nature carries on the induction,and discusses between them the relations and the difference.
出处
《新疆师范大学学报（自然科学版）》
2009年第2期33-36,共4页
Journal of Xinjiang Normal University(Natural Sciences Edition)
关键词
几乎处处收敛
依测度收敛
强收敛
弱收敛
Nearly everywhere restrains
According to measure restraining
Strong convergence
Weak convergence
