Volume inequalities for asymmetric Orlicz zonotopes
Fangwei Chen, Congli Yang, Miao Luo
TL;DR
This paper investigates volume inequalities for asymmetric Orlicz zonotopes using shadow system methods, establishing key inequalities and identifying conditions for equality in this geometric context.
Contribution
It introduces volume product and ratio inequalities for asymmetric Orlicz zonotopes, expanding the understanding of their geometric properties and equality cases.
Findings
Established volume product inequality for asymmetric Orlicz zonotopes
Proved volume ratio inequality with equality conditions
Applied shadow system method to derive new geometric inequalities
Abstract
In this paper, we deal with the asymmetric Orlicz zonotopes by using the method of shadow system. We establish the volume product inequality and volume ratio inequality for asymmetric Orlicz zonotopes, along with their equality cases.
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Taxonomy
TopicsPoint processes and geometric inequalities · Geometric Analysis and Curvature Flows · Advanced Banach Space Theory