12 citations · 20 across the 8 of their papers we have counts for
4 papers · 1 filter
General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem II
Richard J. Gardner, Daniel Hug, Sudan Xing +1
The general dual volume $\dveV(K)$ and the general dual Orlicz curvature measure $\deV(K, \cdot)$ were recently introduced for functions $G: (0, \infty)\times \sphere\rightarrow (0…
General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I
Richard J. Gardner, Daniel Hug, Wolfgang Weil +2
The general volume of a star body, a notion that includes the usual volume, the th dual volumes, and many previous types of dual mixed volumes, is introduced. A corresponding ne…
On the polar Orlicz-Minkowski problems and the -capacitary Orlicz-Petty bodies
Xiaokang Luo, Deping Ye, Baocheng Zhu
In this paper, we propose and study the polar Orlicz-Minkowski problems: under what conditions on a nonzero finite measure and a continuous function $φ:(0,\infty)\rightarrow(0,…
On the general dual Orlicz-Minkowski problem
Sudan Xing, Deping Ye
For a convex body with the origin in its interior, and a continuous function, define the general…