关于积分单调性的一个注记  

A Note on the Monotonicity of Integral

作　　者：李广伟[1] 

机构地区：[1]大连理工大学数学科学学院,辽宁大连116024

出　　处：《高等数学研究》2012年第4期57-58,共2页Studies in College Mathematics

摘　　要：讨论定积分的严格单调性质,并将所得结论推广至勒贝格积分情形.In many Calculus textbooks, the monotonicity of integral is discussed only in the weak case, i. e. , inequality with equal sign. This note studies the case of strictly inequality. We also point out that the conclusion holds as well for Lebesgue integral.

关 键 词：定积分 勒贝格积分 单调性 

分 类 号：O172.2[理学—数学] O174.1[理学—基础数学]