In this paper, we first establish a generalized integral identity. Using this new auxiliary result some new integral inequalities of Newton’s type for functions whose first derivative in absolute value at certain power are arithmetically-harmonically convex are obtained. Some special cases and applications to special means are also discussed.

中文翻译：

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一些牛顿像应用不等式

在本文中，我们首先建立一个广义积分恒等式。使用这个新的辅助结果，对于在一定幂的绝对值的一阶导数是算术调和凸的函数，获得了一些新的牛顿型积分不等式。还讨论了一些特殊情况和特殊手段的应用。