几乎处处收敛、近一致收敛和依测度收敛之间的等价条件研究  

The Equivalent Conditions of Almost Everywhere Convergence,Near Uniform Convergence and Convergence in Measure of Measureable Functional Sequence

作　　者：续小磊[1] 续晓欣[2] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021 [2]中北大学理学院数学系,山西太原030051

出　　处：《长江大学学报（自然科学版）》2011年第10期10-11,15,共3页Journal of Yangtze University(Natural Science Edition)

摘　　要：研究了函数列的近一致收敛、几乎处处收敛和依测度收敛之间的关系,在此基础上给出了它们之间彼此等价的充分必要条件。The paper systematically discusses and summarizes the relationship between the near uniform convergence,almost everywhere convergence and convergence in measure of measureable functional sequence.A necessary and sufficient condition is provided for equivalence of the above three convergence.

关 键 词：测度 可测集 可测函数列 几乎处处收敛 近一致收敛 依测度收敛 

分 类 号：O175.1[理学—数学]