论文标题
Hlawka Type-1和2型数量之间的相互作用
Interactions between Hlawka Type-1 and Type-2 Quantities
论文作者
论文摘要
经典的hlawka不平等与凸几何形状具有与区分和派系具有深厚的联系，并且与Minkowski空间有关。 We introduce Hlawka Type-1 and Type-2 quantities, and establish a Hlawka-type relation between them, which connects a vast number of strikingly different variants of the Hlawka inequalities, such as Serre's reverse Hlawka inequality in the future cone of the Minkowski space, the Hlawka inequality for subadditive function on abelian group by Ressel, and the integral Takahasi等人的类似物。此外，我们宣布了几个增强的结果，例如Hlawka的不等式措施功能。特别是，我们对二次形式的Hlawka不平等的不平等进行了完整的研究，这与Serre作品有关。
The classical Hlawka inequality possesses deep connections with zonotopes and zonoids in convex geometry, and has been related to Minkowski space. We introduce Hlawka Type-1 and Type-2 quantities, and establish a Hlawka-type relation between them, which connects a vast number of strikingly different variants of the Hlawka inequalities, such as Serre's reverse Hlawka inequality in the future cone of the Minkowski space, the Hlawka inequality for subadditive function on abelian group by Ressel, and the integral analogs by Takahasi et al. Besides, we announce several enhanced results, such as the Hlawka inequality for the power of measure function. Particularly, we give a complete study of the Hlawka inequality for quadratic form which relates to a work of Serre.
