Successive radii and Orlicz Minkowski addition
Fangwei Chen, Congli Yang, Miao Luo
TL;DR
This paper investigates the behavior of successive inner and outer radii under Orlicz Minkowski addition, establishing bounds for the radii of sums of convex bodies in this geometric setting.
Contribution
It introduces bounds for the radii of the Orlicz Minkowski sum, advancing understanding of convex geometry in the Orlicz setting.
Findings
Established bounds for radii of Orlicz Minkowski sums.
Extended classical convex geometry results to the Orlicz framework.
Provided new inequalities relating radii and Orlicz Minkowski addition.
Abstract
In this paper, we deal with the successive inner and outer radii with respect to Orlicz Minkowski sum. The upper and lower bounds for the radii of the Orlicz Minkowski sum of two convex bodies are established.
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Taxonomy
TopicsPoint processes and geometric inequalities