| 拟单调函数的一个定理及其应用 |
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| 引用本文： | 赵明方.拟单调函数的一个定理及其应用[J].四川师范大学学报(自然科学版),1992(5). |
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| 作者姓名： | 赵明方 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文给出了局部拟单调函数的定义,导出了在一个区间上函数是单调函数的充要条件是函数在此区间上是拟单调函数;并以此为基础,简捷地证明了关于函数单调性的几个定理与Rolle定理.
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| 关 键 词： | 局部拟增 局部拟减 拟单调函数 |
A THEOREM OF QUASI-MONOTONIC FUNCTIONAND ITS APPLICATION |
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| Zho Mingfang.A THEOREM OF QUASI-MONOTONIC FUNCTIONAND ITS APPLICATION[J].Journal of Sichuan Normal University(Natural Science),1992(5). |
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| Authors: | Zho Mingfang |
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| Institution: | Zho Mingfang Department of Mathematics |
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| Abstract: | In this paper we give definition of local quasi-monotonic, deriving a necessary and sufficient condition of thefunction to be monotone function in an interval. With application of this theorem, it is easy to prove some theorems ofmonotonicity of function and Rolle theorem. |
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| Keywords: | local quasi-monotone increasing local quasi-monotone decreasing quasi-monotonic function |
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