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Inequalities for Three-times Differentiable Arithmetic-Harmonically Functions

机译:三倍微分-调和函数的不等式

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In this work, by using an integral identity together with both the H?lder integral inequality and the power-mean integral inequality we establish several new inequalities for three-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means.
机译:在这项工作中,通过使用积分恒等式以及Hilder积分不等式和幂均值积分不等式,我们为三阶可微的算术-调和-凸函数建立了几个新的不等式。然后,利用这个不等式,我们得到了一些与均值有关的新不等式。

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