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math.MG2017
Grünbaum's inequality for sections
Sergii Myroshnychenko, Matthew Stephen, Ning Zhang
We show \begin{align*} \frac{ \int_{E \cap θ^+} f(x) dx }{ \int_E f(x) dx } \geq \left(\frac{k γ+1}{(n+1) γ+1}\right)^{\frac{k γ+1}γ} \end{align*} for all -dimensional subspaces…
math.MG2017★ 1 cited
The -capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems
Han Hong, Deping Ye, Ning Zhang
In this paper, combining the -capacity for with the Orlicz addition of convex domains, we develop the -capacitary Orlicz-Brunn-Minkowski theory. In particular,…