Convex \(C^1\) extensions of \(1\)-jets from compact subsets of Hilbert spaces (Q2208985)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convex \(C^1\) extensions of \(1\)-jets from compact subsets of Hilbert spaces |
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Convex \(C^1\) extensions of \(1\)-jets from compact subsets of Hilbert spaces (English)
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28 October 2020
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The authors extend their own Whitney extension-type result on \(C^1\) convex functions to compact subsets of Hilbert spaces. They also solve a similar problem for arbitrary bounded subsets of Hilbert spaces, while the extensions lie in the class of differentiable functions with uniformly continuous derivatives on bounded subsets.
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Whitney extension
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\(C^1\) convex function
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Hilbert space
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