函数单调概念的拓广  

Extending the Concept of Monotone Function

作　　者：刘鸿基[1] 阎淑霞[2] 

机构地区：[1]商丘师范学院计算机科学系,河南商丘476000 [2]郑州师专数学系,河南郑州450044

出　　处：《商丘职业技术学院学报》2009年第2期4-5,共2页JOURNAL OF SHANGQIU POLYTECHNIC

基　　金：河南省高等教育教学改革项目(20060306102)

摘　　要：单调函数是一类特殊的函数类,所有的微积分内容都毫无疑问地单独列出并加以讨论,特别是在Lebegue积分理论中,更是作为一类重要的基础函数来研究.但迄今为止,都是在某个区间上讨论函数的单调性,即将单调性作为函数的整体性质而研究.本文拟将此概念加以拓广,给出函数在一点单调的概念.The monotone function is a special kind of function, all calculus list it separately and discuss it, especially in the Lebegue integral theory, it is studied as a class important basis function. So far, all works discuss the function monotonicity in some interval, which is discussed as the function of glohal nature, in this paper we extend this concept and give the concept of the point - monotonicity.

关 键 词：函数 整体单调性 点单调性 

分 类 号：O14[理学—数学]