Mathematics – Functional Analysis
Scientific paper
2011-10-25
Mathematics
Functional Analysis
Scientific paper
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 inequality for entropy. A linearization of this
inequality gives an inverse inequality to the Poincar'e inequality for the
Gaussian measure.
Artstein-Avidan Shiri
Klartag Bo'az
Schuett Carsten
Werner Elisabeth
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