摘要
论证了从简单函数出发而给出的勒贝格积分定义,对照黎曼积分确界式定义给出的勒贝格积分定义,用和的极限形式表示的勒贝格积分定义,三种定义互相等价。
This paper concerned itself with the discussion about the equivalence of Lebesgue's three definitions on integration. The issue was discussed and expounded from three perspectives: simple function, comparison in supremum form with Riemann integration, and the representation by limit of the sum.
出处
《佛山科学技术学院学报(自然科学版)》
CAS
1999年第4期65-68,共4页
Journal of Foshan University(Natural Science Edition)