Showing math.FAShow all
3 papers · 1 filter
math.FA2021
Dual curvature measures on convex functions and associated Minkowski problems
Niufa Fang, Jiazu Zhou
In this paper, the -th dual curvature measure is extended to convex functions and the associated Minkowski problem is posed. A special case includes the -th dual curvature me…
math.FA2020
The Busemann-Petty problem on entropy of log-concave functions
Niufa Fang, Jiazu Zhou
The Busemann-Petty problem asks whether symmetric convex bodies in the Euclidean space with smaller central hyperplane sections necessarily have smaller volume. The…
math.FA2019
Notes on the functional LYZ ellipsoid
Niufa Fang, Jiazu Zhou
We define the functional LYZ ellipsoid of log-concave functions. Then we give notes appended to [6].