由一个Hermite-Hadamard型不等式生成的差的不等式

Inequalities Involving Difference Functions Generated by a Hermite-Hadamard Type Inequality

考虑由一个推广的Hermite-Hadamard不等式的左边部分的连续加细所生成的两个差函数,用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。

Consider two difference functions generated by a continuous refinement of the left-hand side of a generalized Hermite-Hadamard inequality.By using the method of introducing a parameter to find the minimum,inequalities involving these two difference functions are established under Lipschitz condition.