In this paper, we establish an integral identity associated with -times differentiable functions. The result is then used to derive some integral estimations for higher-order strongly -polynomial preinvex functions. Finally, we apply the obtained inequalities to construct new inequalities involving special means.

中文翻译：

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与高阶强多项式前不变函数有关的积分的估计不等式

在本文中，我们建立了与-次微分函数相关的积分恒等式。然后将结果用于导出高阶强烈一些积分估计-多项式预不变凸函数。最后，我们将获得的不等式用于构建涉及特殊手段的新不等式。