On the functional Blaschke-Santalo inequality
Youjiang Lin, Gangsong Leng
TL;DR
This paper extends the classical Blaschke-Santalo inequality to a functional setting using Steiner symmetrizations, broadening its applicability in convex geometry.
Contribution
It provides a new proof of the functional Blaschke-Santalo inequality based on Steiner symmetrizations, enhancing understanding of its geometric properties.
Findings
Extension of the inequality to functional setting
Use of Steiner symmetrizations in the proof
New insights into convex geometric inequalities
Abstract
In this paper, using functional Steiner symmetrizations, we show that Meyer and Pajor's proof of the Blaschke-Santalo inequality can be extended to the functional setting.
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Taxonomy
TopicsPoint processes and geometric inequalities · Mathematics and Applications · Geometric Analysis and Curvature Flows