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math.FA2023
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…
math.FA2023
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 a…