等度连续的函数列的一致(R)可积性  

The Uniform(R)Integrability of A Sequence of Equicontinuous Function

作　　者：施伟民[1] 陈争鸣[1] 

机构地区：[1]泉州师范学院数学系,福建泉州362000

出　　处：《泉州师范学院学报》2006年第2期5-8,共4页Journal of Quanzhou Normal University

摘　　要：从连续性的角度出发对函数列的一致(R)可积的性质进行研究,得到若函数序列闭区间上除掉有限个任意小的开区间后等度连续,且一致有界,则一致(R)可积;并给出函数序列闭区间上收敛于可积函数更一般的条件.In this paper the character of sub-uniformly（R）integral is introduced from the continuous angle. The result that closed interval in function series is taken out some limited biorthogonal open interval is equicontinuous and uniform bounded, then it leads to subuniformly（R） integrable. In the end,it offers the more universal condition which closed interval in function series is convergent with integrable function.

关 键 词：等度连续 一致收敛 一致(R)可积 

分 类 号：O174.2[理学—数学]