Timeline for Concavity of a function along a path
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 28, 2020 at 23:26 | answer | added | Iosif Pinelis | timeline score: 3 | |
| Apr 28, 2020 at 19:20 | comment | added | republic | I mean the following. Suppose that $\left( x_{1},y_{1}\right) ,\left( x_{2},y_{2}\right) $ and $\left( x_{3},y_{3}\right) $ satisfy $f_{x}\left( x_{1},y_{1}\right) =y_{1}$, $f_{x}\left( x_{2},y_{2}\right) =y_{2}$,$ f_{x}\left( x_{3},y_{3}\right) =y_{3}$ and $x_{2}=\lambda x_{1}+\left( 1-\lambda \right) x_{3}$ for some $\lambda \in \left( 0,1\right) $. Then $ f\left( x_{2},y_{2}\right) >\lambda f\left( x_{1},y_{1}\right) +\left( 1-\lambda \right) f\left( x_{3},y_{3}\right) $. Thanks! | |
| Apr 28, 2020 at 18:59 | comment | added | Iosif Pinelis | What do you mean by "along the path the function $g$ is concave"? | |
| Apr 28, 2020 at 18:45 | history | asked | republic | CC BY-SA 4.0 |