5 papers · 1 filter
On Minkowski symmetrizations of -concave functions and related applications
Steven Hoehner
The Minkowski symmetral of an -concave function is studied, and some of its fundamental properties are derived. It is shown that for a given -concave function, there exists…
Blaschke operations on log-concave functions and affine isoperimetric inequalities
Effrosyni Chasioti, Steven Hoehner
We introduce Blaschke addition and homothety operations on log-concave functions and study their affine-geometric consequences. Our starting point is the first variation formula of…
Generalized outer linearizations and extremal properties of rotational epi-symmetrizations
Steven Hoehner, Fabian Mussnig
We develop a functional extension of an extremal principle by Schneider (Monatsh. Math., 1967) by introducing generalized outer linearizations of convex functions. Given a coercive…
An extremal property of the symmetric decreasing rearrangement
Steven Hoehner, Júlia Novaes
It is shown that for a given log-concave function, its symmetric decreasing rearrangement is always harder to approximate in the symmetric difference metric by inner log-linearizat…
On maximal intersection position for logarithmically concave functions and measures
Steven Hoehner, Michael Roysdon
A new position is introduced and studied for the convolution of log-concave functions, which may be regarded as a functional analogue of the maximum intersection position of convex…