Stability of the Blaschke-Santal\'{o} inequality in the plane
Mohammad N. Ivaki
TL;DR
This paper presents a stability version of the Blaschke-Santaló inequality in the plane, providing insights into how close a convex body must be to an extremal shape if it nearly attains the inequality.
Contribution
It introduces a stability result for the Blaschke-Santaló inequality specifically in two dimensions, extending the understanding of equality cases.
Findings
Quantitative bounds on deviation from extremal bodies
Characterization of near-equality cases in the plane
Enhanced understanding of convex geometric inequalities
Abstract
We give a stability version of of the Blaschke-Santal\'{o} inequality in the plane.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.