用泰勒公式研究函数凹凸性的一种拓广

An Extensiveness on the Concave-convex Property of Function through Formula of Taylor

凹 (凸 )函数有很多特性 ,这些性质可广泛应用于不等式证明及误差估计等方面 ,利用泰勒公式研究这类特殊函数 ,可得出一些结论 ,用这些结论可简便证明某些特殊不等式。

There are concave function and convex function,which are of extensive application in many aspects,especially in inequality proof and error estimate.In this paper a kind of property about the special functions will be concluded through formula of Taylor.