摘要
变差函数为数学研究中涉及较多的内容,特别是在与测度有关的研究中.本文明确指出了变差函数的全变差与生成测度之间的关系,并给出了严格的证明.此外,还讨论了测度与积分的一些性质,相应结论亦作了详尽推证.
Variational function is frequently touched upon in mathematic researches, especially in researches relative to measure. This paper points out the relation between total variation of variational function and generated measure definitely, and gives the strict proof. Besides, this paper discusses some properties of measure and integration, and proves thoroughly the relevant conclusions.
出处
《北京交通大学学报》
EI
CAS
CSCD
北大核心
2007年第3期38-43,共6页
JOURNAL OF BEIJING JIAOTONG UNIVERSITY
关键词
变差函数
测度
积分
variational function
measure
integration