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.
出处
《大学数学》
2003年第3期92-94,共3页
College Mathematics
关键词
一致(R)可积
一致有界
有界变差函数
全变差
uniform (R) integrability
uniform boundness
function of bounded variation
total variation
