摘要
对实变函数论中可测函数的不同定义进行了归纳,论证了不同定义之间的等价性,同时对各种定义进行了适当的辨析,最后指出了可测函数定义的最佳选择(特别是作为教材中的定义).
In this paper,the different definition of measurable function is sumed up,their equivalent is discussed,and the reasonable discrimination was in progress,last their oplimol selection is pointed out.
出处
《甘肃联合大学学报（自然科学版）》
1998年第S1期1-4,共4页
Journal of Gansu Lianhe University :Natural Sciences
关键词
实变函数
可测集
可测函数
非负可测函数
简单函数列
Real variable function
Measurable set
Measurable function
Nonnegative measurable function
Simple sequence of function
