1 citations · 1 across the 4 of their papers we have counts for
4 papers
The th order Orlicz projection bodies
Xia Zhou, Deping Ye, Zengle Zhang
Let be the space of real matrices. Define as the set of convex compact subsets in with nonempty inter…
The Riesz -energy of log-concave functions and related Minkowski problem
Niufa Fang, Deping Ye, Zengle Zhang
We calculate the first order variation of the Riesz -energy of a log-concave function with respect to the Asplund sum. Such a variational formula induces the Riesz -energ…
An affine isoperimetric inequality for log-concave functions
Zengle Zhang, Jiazu Zhou
The authors gave an affine isoperimetric inequality \cite{LYZ2010} that gives a lower bound for the volume of a polar body and the equality holds if and only if the body is a simpl…
The dual Orlicz curvature measures for log-concave functions and their related Minkowski problems
Niufa Fang, Deping Ye, Zengle Zhang +1
The variation of a class of Orlicz moments with respect to the Asplund sum within the class of log-concave functions is demonstrated. Such a variational formula naturally leads to…