一类(α,m)-凸函数的Hadamard型不等式

Hadamard-type inequalities for a class of (α,m)-convex functions

首先,提出了一个新的积分恒等式;然后,在此基础上构造了一类二阶导函数的绝对值的q次幂是(α,m)-凸函数的新型Hadamard型不等式;最后,给出了一些具体的应用例子.

This paper proposes an integral identity. Based on the identity, some results of Hadamaxd inequalities are established for functions with the q-th power of the second derivative＇s absolute value （α, m）-convex. Some specific applied examples axe presented.