4 citations · 6 across the 8 of their papers we have counts for
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math.FA2014★ 4 cited
Functional versions of L_p-affine surface area and entropy inequalities
U. Caglar, M. Fradelizi, O. Guedon +3
In contemporary convex geometry, the rapidly developing L_p-Brunn Minkowski theory is a modern analogue of the classical Brunn Minkowski theory. A cornerstone of this theory is the…
math.FA2014★ 2 cited
Mixed f-divergence and inequalities for log concave functions
Umut Caglar, Elisabeth M. Werner
Mixed -divergences, a concept from information theory and statistics, measure the difference between multiple pairs of distributions. We introduce them for log concave functions…
math.FA2011
Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality
S. Artstein-Avidan, B. Klartag, C. Schuett +1
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 inequa…