凸函数与不等式

Convex Function and Inequality

本文对凸函数的有关定理给出了与现今一些高等数学教科书不同而又简捷的证明方法,并根据凸函数有关定理中的公式研究推导出若干重要不等式,进一步应用于证明不等式和求条件极值问题,简化了证题、解题的过程。

Proofing method concerning about convex function relative theorem is given, which is different and simple from that in some higher mathematics teaching book now. Based on fraction of convex function relative theorem, making a research to deduce some important inequality, further apply it to proof inequality and evaluate conditional extreme value and reduce procedure of proof and throughout problem.