由Hermite-Hadamard不等式的一个推广形式所生成的不等式

Inequalities Generated by a Generalized Form of Hermite-Hadamard Inequality

考虑由一个推广的Hermite-Hadamard不等式的右边部分的连续加细所生成的两个差函数.引入参数求最值的方法,在Lipschitz条件下给出了关于这两个差函数的不等式.

In this paper,we consider two difference functions generated by a continuous refinement of the right-hand side of a generalized Hermite-Hadamard inequality.By using the method of introducing a parameter to find the minumum value,inequalities involving these two difference functions are established under Lipschitz condition.