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Sharp constant for inequality with convex functions

This is a follow up to this question, where the optimal constant was left open. Let $P \subset \mathbb{R}^n$ be bounded, convex, and open. Let \begin{equation} \mathcal{H} := \{f : P \rightarrow \m …
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2 votes

Orthogonal projection of a point centrally-symmetric closed convex subset of $\mathbb R^n$ n...

Fix $j \in \{1, ..., n\}$. As I understand your symmetry condition, for any $y \in C$, we have $y^{j, 0} \in C$ which is defined via $y^{j, 0}_i := y_i$ for $i \neq j$ and $y^{j, 0}_j = 0$. Then by th …
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