用中值定理研究函数的性质

Study on the Property of Function through Mid-value Theorem

凸 (凹 )函数有很多特性 ,这些性质可广泛应用于不等式的证明及误差估计等方面 .利用中值定理研究这类特殊函数 ,可得出一种性质 .用此性质可简便证明某些特殊不等式 .

There are convex function and concave function,Which are of expansive application in many aspects,especially in inequality proof and error estimate.In this paper,a kind of property about the special function is concluded through Mid theorem.