Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590524 | Journal of Functional Analysis | 2012 | 24 Pages |
Abstract
We give a functional version of the affine isoperimetric inequality for log-concave functions which may be interpreted as an inverse form of a logarithmic Sobolev inequality for entropy. A linearization of this inequality gives an inverse inequality to the Poincaré inequality for the Gaussian measure.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory