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 functions is estabished;and the continuity of function which is continuous on each disjoint closed set is dnalhzed, on the basis of which another proof of the wellknown Lusin’s Theorem is presented.
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叶 一 蔚.鲁津定理的另一种证明[J].重庆工商大学学报(自然科学版),2015,32(4):16-17 YE Yiwei. Anther Proof on Lusin’s Theorem[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2015,32(4):16-17