Stability of the functional forms of the Blaschke-Santalo inequality
Franck Barthe, Karoly J. Boroczky, Matthieu Fradelizi
TL;DR
This paper proves stability versions of the functional forms of the Blaschke-Santalo inequality, extending previous results by several researchers in the field.
Contribution
It introduces new stability results for the functional forms of the Blaschke-Santalo inequality, enhancing understanding of their robustness.
Findings
Stability versions are established for the functional forms of the inequality.
The results extend previous work by Ball, Artstein-Klartag-Milman, Fradelizi-Meyer, and Lehec.
Abstract
Stability versions of the functional forms of the Blaschke-Santalo inequality due to Ball, Artstein-Klartag-Milman, Fradelizi-Meyer and Lehec are proved.
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Taxonomy
TopicsPoint processes and geometric inequalities · Geometric Analysis and Curvature Flows · Functional Equations Stability Results