摘要
从Riemann积分和Lebesgue积分的思想形成的历史入手,深入分析二者的定义,通过对二者的比较,研究Riemann积分和Lebesgue积分的联系和区别。通过论证得知,从Riemann积分推广到Lebesgue积分的本质是从不完备空间R[a,b]到完备空间L[a,b]的扩充。
From the formation of the thinking of Integral Riemann and Integral Lebesgue,the paper analyzes the two definitions in depth,and by comparison of those two it studies their connection and distinction.By demonstrating,it is proved that the nature of the promotion from Integral Riemann to Integral Lebesgue is the expansion from the incomplete space R [a,b] to the complete space L [a,b].
出处
《桂林师范高等专科学校学报》
2010年第3期182-186,共5页
Journal of Guilin Normal College
