全变差有界函数列的一致(R)可积性  

The Uniform (R) Integrabitity for Sequence of Function with Boundness of Total Variation

作　　者：张彩华[1] 石辅天[1] 

机构地区：[1]朝阳师范高等专科学校,辽宁朝阳122000

出　　处：《大学数学》2003年第3期92-94,共3页College Mathematics

摘　　要：给出了一致有界单调函数列一致可积性定理 ,由此得出全变差序列有界的收敛函数列的一致可积性 .说明了该结论可判断一些非一致收敛函数列的逐项积分性质 .A uniformly integrable theorem for sequence of uniformly bounded and monotone function is geven. As a result, it is proved that convergent sequence of function for boundness of sequence with total variation is uniformly integrable, which can judge integrability of successive terms for some ununiformly convergent sequence of function.

关 键 词：一致(R)可积 一致有界 有界变差函数 全变差 

分 类 号：O17[理学—数学]