In this paper, we establish a local fractional integral identity with a parameter $\lambda$ on Yang's fractal sets. Using this identity, by generalized power mean inequality and generalized Hölder inequality, two Hermite‐Hadamard type local fractional integral inequalities for generalized harmonically convex functions are established. By giving some special values to the parameter, some inequalities with specific form can be obtained. Some applications to generalized special means are given.

中文翻译：

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广义调和凸函数的Hadamard型局部分数积分不等式及应用

在本文中，我们使用参数建立了局部分数积分恒等式 $\lambda$在杨的分形集上。利用该恒等式，通过广义幂均值不等式和广义Hölder不等式，建立了两个广义广义凸函数的Hermite-Hadamard型局部分数积分不等式。通过给参数赋予一些特殊的值，可以获得具有特定形式的一些不等式。给出了对广义特殊手段的一些应用。