66 citations · 383 across the 32 of their papers we have counts for
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math.MG2015
Valuations on the space of quasi-concave functions
Andrea Colesanti, Nico Lombardi
We characterize the valuations on the space of quasi-concave functions defined on the -dimensional Euclidean space, that are rigid motion invariant and continuous with respect t…
math.FA2015
On a linear refinement of the Prékopa-Leindler inequality
Andrea Colesanti, Eugenia Saorín Gómez, Jesús Yepes Nicolás
If are non-negative measurable functions, then the Prékopa-Leindler inequality asserts that the integral of the Asplund sum (pro…
math.MG2015★ 29 cited
Monotone valuations on the space of convex functions
L. Cavallina, A. Colesanti
We consider the space of convex functions defined in the Euclidean -dimensional space, which are lower semi-continuous and tend to infinity at infinity. We study real-valued val…