凹凸函数在初等数学中的一些应用

摘 要

从凹凸函数的定义和几何特征出发,归纳了它在初等数学中的1些性质,结合实例总结了它在证明不等式﹑求最值﹑判定函数的单调性以及解特殊方程中的应用.

关键词: 凹函数；凸函数；不等式；最值；单调性.

Abstract

From the definition and the geometry characteristic of the concave and the convex fun ☻ctions, we summ♋arize some properties th⌚ereof in elementary mathematics, and give their applications in proving inequalities, finding extremum, determining monotonicity of functions, solving special equation with some examples.

Key word: Concave function; Convex function; Inequality; Extremum; Monotonicity.

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注：【包括：毕业论文，任务书，开题ง报告】