函数单调概念的拓广——点单调性  

Extend the concept of monotone function-point monotonicity

作　　者：刘鸿基[1] 张文君 

机构地区：[1]商丘师范学院计算机科学系,河南商丘476000 [2]商丘技师学院,河南商丘476000

出　　处：《商丘师范学院学报》2011年第6期117-118,125,共3页Journal of Shangqiu Normal University

基　　金：河南省高等教育教学改革项目(20060306102)

摘　　要：传统微积分学中仅讨论了函数在某个区间上的单调性,对一点处的单调性没有涉及.而在工程函数中,考察函数在某一点处的单调性却十分必要且非常关键.本文拟将此概念加以拓广,给出函数在一点单调的概念,并予以讨论.Traditional calculus study the function monotonicity only about the specific interval of function domain,there are not discussion about monotone at one point.However,it is necessary and critical to study the monotonic function at one point in the engineering function.This paper intends to expand the concept.The concept of monotonic function at one point is proposed,and related issues are discussed.

关 键 词：函数 单调性 整体单调性 点单调性 

分 类 号：O174.13[理学—数学]