中文摘要：

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.

英文摘要：

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