Timeline for Monotonicity of maximum of convex combination of two scaled concave functions
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 5, 2020 at 14:19 | vote | accept | ACopt | ||
| Jan 5, 2020 at 13:51 | comment | added | Iosif Pinelis | @ACopt : In the same example, if $B>0$, $0<A<1$, and $a$ and $b$ are close enough to $1/2$ so that $A<1/A_*(a,b)$, then $g^*(b)=g(\frac Ba,b)$ and $\frac{dg^*(b)}{db}=(1/a-2)AB>0$. | |
| Jan 5, 2020 at 10:35 | comment | added | ACopt | Thanks for the counterexample! How about if the maximizer of 𝑓 is positive? Would the inequality then hold? I'm having trouble thinking of a counterexample in such a case... | |
| Jan 5, 2020 at 2:02 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 214 characters in body
|
| Jan 5, 2020 at 1:55 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |