摘要
对可测函数列的几种收敛性的定义和性质进行归纳和总结,讨论他们之间的关系,并给出相应的证明,从而使各种收敛之间的关系更加明了。
The definitions and properties of several kinds of convergence for measurable function sequence are generalized in this paper. We discussed their interrelationship and gave some proofs about the corresponding results, which made the connections between them more clear.
出处
《保山学院学报》
2014年第5期12-14,共3页
JOURNAL OF BAOSHAN UNIVERSITY
基金
云南省应用基础研究计划青年项目(项目编号:2012FD060)
保山学院重点课题(项目编号:12B003KZ)研究成果
关键词
可测函数列
一致收敛
几乎处处收敛
依测度收敛
强收敛
弱收敛
measurable function sequence
uniform convergence
convergence almost everywhere
convergence in measure
strong convergence
weak convergence
