Isotropic measures, and stronger forms of the reverse isoperimetric inequality
Karoly J. Boroczky, Daniel Hug
TL;DR
This paper establishes a stability version of the reverse isoperimetric inequality and extends it to isotropic measures, providing stronger geometric inequalities and insights into convex body analysis.
Contribution
It introduces a stability version of the reverse isoperimetric inequality and generalizes it for isotropic measures, advancing the understanding of geometric inequalities.
Findings
Proved a stability version of the reverse isoperimetric inequality.
Extended the inequality to isotropic measures.
Provided new bounds and conditions for equality.
Abstract
A stability version of the reverse isoperimetric inequality, and the corresponding inequality for isotropic measures are established.
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Taxonomy
TopicsPoint processes and geometric inequalities · Mathematical Inequalities and Applications