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任意区间上连续函数的零点定理
引用本文:何艳玲,戴立辉.任意区间上连续函数的零点定理[J].宜春学院学报,2006,28(2):39-40.
作者姓名:何艳玲  戴立辉
作者单位:1. 宜春学院数学系,江西,宜春,336000
2. 闽江学院数学系,福建,福州,350108
摘    要:将闭区间上连续函数的零点定理扩展到其它区间上,得到若干个相应区间上连续函数的零点定理,从而使零点定理理论更完善、应用更广泛.

关 键 词:区间  连续函数  零点定理
文章编号:1671-380X(2006)02-0039-02
收稿时间:2005-12-09
修稿时间:2005年12月9日

A Zero- Point Theorem for Continuous Functions on General Types of Intervals
HE Yan-ling,DAI Li-hui.A Zero- Point Theorem for Continuous Functions on General Types of Intervals[J].Journal of Yichun University,2006,28(2):39-40.
Authors:HE Yan-ling  DAI Li-hui
Institution:1. Department of Mathematics, Yichun University, Yichun, 336000 China ; 2. Department of Mathematics, Minjiang University, Fuzhou ,350108 China
Abstract:This article extends the zero-point theorem for continuous functions from a closed interval to other types of intervals,and a series of zero-point theorems for continuous functions on relevant intervals are obtained,so that the theory on the zero-point theorem can be applied in more general cases.
Keywords:intervals  continuous functions  zero-point theorem
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