Mixed Lp projection inequality
Zhongwen Tang, Lin Si
TL;DR
This paper introduces mixed Lp-surface area measures, establishes the mixed Lp Minkowski inequality, and proves a mixed Lp projection inequality for mixed projection bodies, advancing the understanding of geometric inequalities in convex geometry.
Contribution
It defines mixed Lp-surface area measures and proves new inequalities, including the mixed Lp Minkowski and projection inequalities, extending classical convex geometric results.
Findings
Established the mixed Lp Minkowski inequality.
Proved the mixed Lp projection inequality for mixed projection bodies.
Extended classical geometric inequalities to the Lp setting.
Abstract
In this paper, the mixed Lp-surface area measures are defined and the mixed Lp Minkowski inequality is obtained consequently. Furthermore, the mixed Lp projection inequality for mixed projection bodies is established.
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Taxonomy
TopicsPoint processes and geometric inequalities · Mathematical Inequalities and Applications