最值函数关于取值区间的连续依赖性  

The continuity of the maximum (minimum) function to domain

作　　者：穆锦荣 刘喜兰[1] 

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007

出　　处：《宝鸡文理学院学报（自然科学版）》2014年第3期8-10,16,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：国家自然科学基金项目(11361047;10961020);青海省自然科学基金(2012-Z-910)

摘　　要：目的分析连续函数的最值函数关于取值区间的依赖性质。方法利用分析方法对最值函数的连续性、单调性、可导性进行探讨。结果与结论连续函数的最值函数具有连续性,但对于无单调性连续函数,其最值函数可导性无确定结论。Objective--To analyze the properties and the dependence of the maximum and minimumfunctions on the interval of definition. Methods--The continuity, monotonicity and differentiability ofthe maximum and minimum functions are investigated with analytical method. Results and Conclu-sion-The maximum and minimum functions discussed herein are continuously dependent on their in-terval of definition, however, the differentiability of the kinds of functions is uncertain.

关 键 词：最值函数 取值区间 连续性 

分 类 号：O171[理学—数学]