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math.MG2018
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…
math.MG2018
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…
math.MG2018★ 1 cited
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…