黎曼可积函数列的“测度收敛”  

The Measure Convergence of Riemann Integrable Function Sequence

作　　者：罗元[1] 

机构地区：[1]孝感学院数学系,孝感432100

出　　处：《武汉理工大学学报（交通科学与工程版）》2003年第1期131-133,共3页Journal of Wuhan University of Technology（Transportation Science & Engineering）

摘　　要：给出了黎曼型的测度收敛、测度连续、几乎处处相等的概念 ,建立了 4个定理 ,其中定理 1 ,2相当于勒贝格积分理论中的控制收敛定理和鲁金定理 。The paper puts forward herein the concepts of Riemann measure convergence, measure continuity and almost universal equality, and creates four theorems, among which theorem 1 and theorem 2 are similar to the controlled convergence theorem and Lukin theorem in Lebesgue integral Theory. In short, it intends to discuss how to imitate the method of Lebesgue integral to seek the limits of the Riemann integral.

关 键 词：测度收敛 测度连续 黎曼可积函数 

分 类 号：O172.3[理学—数学]