摘要
说明了Newton积分与Henstock积分为非绝对积分,Riemann积分与Lebesgue积分为绝对积分.讨论了这几种积分之间的关系,证明了Henstock积分是这几种积分的统一形式,同时证明了R([a,b])是不完备空间,H([a,b])是完备空间.
This paper explains that Newton integral and Henstock integral are non-absolute integral, while Riemann integral and Lebesgue integral are absolute integral. Furthermore, this paper discusses about the relationships between them. Finally, it proves that Henstock integral is the unified form of these integrals, and that R ( ) is incomplete space, while H () is complete space.
