Timeline for Legendre-Fenchel transform
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Dec 6, 2021 at 10:34 | comment | added | user12345678 | Thank you very much. It was most helpful. What I actually need is contained in the answer to this question: mathoverflow.net/questions/341403/… | |
| Dec 5, 2021 at 17:49 | comment | added | Pietro Majer | And here $F^*$ has never full domain, for the condition implies that $\text{dom}F^*$ does not contain lines (which btw in finite dimension even implies it is bounded, and that $F$ is Lipschitz, I think) | |
| Dec 4, 2021 at 9:59 | history | edited | YCor |
edited tags
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| Dec 4, 2021 at 9:10 | comment | added | Fedor Petrov | How do you define the domain: the set of $y$ for which it is finite? | |
| S Dec 4, 2021 at 7:50 | history | suggested | CommunityBot | CC BY-SA 4.0 |
typo in the title
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| Dec 4, 2021 at 7:42 | review | Suggested edits | |||
| S Dec 4, 2021 at 7:50 | |||||
| Dec 3, 2021 at 11:09 | comment | added | Dirk | Maybe there is some confusion regarding "continuous on its domain". If the domain is not the full space, the conjugate will never be continuous on the domain, because it has to jump to $+\infty$ on the boundary. So are you asking if the conjugate has full domain? | |
| Dec 3, 2021 at 11:08 | comment | added | Dirk | This does not seem to be true. If $F\equiv 0$, then the conjugate is the indicator of $\{0\}$ which is not continuous in $0$. | |
| Dec 3, 2021 at 9:20 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
(Very) Minor Math Jaxing (used $\langle\cdot,\cdot\rangle$ instead of $<\cdot,\cdot>$ and formatting
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| Dec 2, 2021 at 16:02 | comment | added | Anthony Quas | @mlk: convex functions don’t have to be continuous on the boundary of their domain. | |
| Dec 2, 2021 at 13:51 | comment | added | mlk | I might be mistaken here, but $F^*$ should be a convex function and convex functions are themselves continuous (on their domain). | |
| Dec 2, 2021 at 9:37 | history | edited | user12345678 | CC BY-SA 4.0 |
added 1 character in body
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| Dec 2, 2021 at 9:17 | history | asked | user12345678 | CC BY-SA 4.0 |