摘要
介绍了鲁津定理的另一种证明,建立了非负有界可测函数与简单函数的关系与闭集上连续函数的粘贴定理,在此基础上给出鲁津定理的证明.
This paper presents a new proof of Lusin＇ s Theorem. The main results are as follow： the relationship between the nonnegative bounded measurable functions and simple continuity of function which is continuous on each disjoint closed set is dnalhzed proof of the well-known Lusin＇ s Theorem is presented. functions is estabished; and the , on the basis of which another
出处
《重庆工商大学学报（自然科学版）》
2015年第4期16-17,31,共3页
Journal of Chongqing Technology and Business University:Natural Science Edition
基金
国家自然科学基金项目资助(11471267)
关键词
可测函数
简单函数
一致连续
连续
measurable function
simple function
uniform continuity
continuity
