Stability of some versions of the Prékopa–Leindler inequality

By Keith Ball, K. Boroczky. 2009

50 citations recorded by the source corpus.

Two consequences of the stability version of the one dimensional Prékopa–Leindler inequality are presented. One is the stability version of the Blaschke–Santaló inequality, and the other is a stability version of the Prékopa– Leindler inequality for even functions in higher dimensions, where a recent stability version of the Brunn–Minkowski inequality is also used in an essential way.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/05415c2c8e74da86ef5d91167594ecc8090258ef

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In Applied Mathematics

1. Ilaria Fragalà
2. Sergey G. Bobkov
3. Andrea Colesanti
4. Emanuel Milman
5. Bo'az Klartag
6. Nathael Gozlan
7. Feng-Yu Wang
8. Mokshay M. Madiman

In Geometry and Topology

1. Andrea Colesanti
2. Sergey G. Bobkov

Citations in the corpus

• Quermassintegrals of quasi-concave functions and generalized Prékopa–Leindler inequalities (2012, result): “As a significant example, one may indicate the celebrated Prékopa–Leindler inequality [13,23,28–30] (see also [5,6,9] for recent related papers), or the functional form of the Blaschke–Santaló inequality [2,3].”