摘要
本文给出了Ｒｉｅｍａｎｎ积分的一个等价定义，用该定义下的达布和的性质证明了Ｒ—可积的必要充分条件定理。并用两种方法证明了定义卫与定义２等价。
In this paper, we give a equivalent definition for Riemann integral and obtain a necessary and sufficient condition for R1-integrability by means of the difinition. we also supply two methods to prove the equivalence of definition 1 and definition 2.
出处
《大学数学》
1994年第4期158-161,共4页
College Mathematics
关键词
R—可积
R′—可积
等分分割π_n
积分和
达布上和
达布下和
R-integrability R1-integrability
Patition π_n
interal summation
Darboux super-sum
Darboux lowersum.
