Timeline for mixing convex and concave for convexity
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 1, 2017 at 6:47 | comment | added | Pietro Majer | Actually the sense of the approach was just trying to use an integral representation for $F''$, since integrals have a rich calculus. The above formula is not too complicated, so I think it's doable; yet I hoped for a quick answer | |
| May 27, 2017 at 0:35 | comment | added | fedja | @PietroMajer I tried to see if one can make sense of your approach today. Basically, it boils down to this: what "convenient" operators $L$ satisfy $Lf_t\ge 0$ for every function $f_t(s)=s^2e^{-ts}$ ($t>0$, $s$ large positive). Alas, my answer was "I have no idea". Can you think of a single one that can be used to prove any non-obvious convexity property of the desired type? | |
| Jan 18, 2017 at 16:31 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Jan 17, 2017 at 10:51 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Jan 17, 2017 at 4:06 | comment | added | T. Amdeberhan | This is a fascinating approach! I wonder how to achieve positivity. | |
| Jan 17, 2017 at 3:28 | history | answered | Pietro Majer | CC BY-SA 3.0 |