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有界闭集上的(R)积分及积分收敛定理
(R)INTEGRAL ON BOUNDED CLOSED SET AND THE THEOREM OF INTEGRAL CONVERGENCE
【摘要】 本文定义了R?中有界闭集E上的Riemann积分,给出可积充要条件,研究了这一积分与Lebesgue积分的关系,并导出相应的积分收敛定理.
【Abstract】 This article gives a definition to the Riemann integral on bounded closed set E.It gives integrable conditions,which areneccessary and full.The relationship between this integral and Lebesgue integral is studied,at the same time the correspondingtheorem about intergral convergence is also given.
【关键词】 有界闭集;
Riemann积分;
收敛定理;
Lebesgue积分;
【Key words】 bounded closed set; Riemann integral; Lebesgue integral; convergence theorem;
【Key words】 bounded closed set; Riemann integral; Lebesgue integral; convergence theorem;
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,1992年03期
- 【分类号】O171;O174.12
- 【被引频次】2
- 【下载频次】42