In this paper, the mixed $L_p$-surface area measures are defined and the mixed $L_p$ Minkowski inequality is obtained consequently. Furthermore, the mixed $L_p$ projection inequality for mixed projection bodies is established.

中文翻译：

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混合的 ${\mathrm{大号}}_p$ 投影不等式

在本文中，混合 ${\mathrm{大号}}_p$-定义了表面积度量并将其混合 ${\mathrm{大号}}_p$结果得到了Minkowski不等式。此外，混合${\mathrm{大号}}_p$ 建立了混合投影体的投影不等式。