摘要
系统讨论了实分析中函数列的平均收敛,测度收敛以及几乎处处收敛之间的关系,给出它们之间的推导,并构造出了反列。
The relationships between the mean convergence, convergence in measure and convergence almost everywhere of sequence of functions are discussed systematically. We have given the process of proof and constructed the counter example.
出处
《咸阳师范学院学报》
2011年第6期4-5,共2页
Journal of Xianyang Normal University
基金
天水师范学院科研基金项目(TSA0935)
关键词
平均收敛
依测度收敛
几乎处处收敛
mean convergence
convergence in measure
convergence almost everywhere
