Timeline for Algebraic approach towards convexity

9 events

when toggle format	what		by	license	comment
Oct 22, 2019 at 7:49	comment	added	Nikolaj Pedersen		in your utility function. I must assume $x=(x_1,x_2)$, meaning plugging (2,2) into your utility function $u(x_1,x_2)=x_1+x_2+\min\{x_1,x_2\}$ gives $u(2,2)=2+2+\min\{2,2\} = 6$.
Oct 21, 2019 at 22:58	comment	added	Frodo Baggins		In your example above, how did you get 6 in $$ u((1-t)x+ty)=u(2,2)=6$$? I understand you have plugged 2, 2 in a utility function. What utility function is that?
Oct 21, 2019 at 22:51	vote	accept	Frodo Baggins
Oct 19, 2019 at 9:06	history	edited	Nikolaj Pedersen	CC BY-SA 4.0	added 684 characters in body
Oct 19, 2019 at 8:44	history	edited	Nikolaj Pedersen	CC BY-SA 4.0	added 11 characters in body
Oct 19, 2019 at 8:43	comment	added	Nikolaj Pedersen		I have changed my wording to be more precise, but an example would be $f(x,y,z)=23x^4+652y^8+1543z^{12}$ and $g(x,y,z)=exp(xyz)$, then $f+g$ is convex because it is the sum of convex functions. (in fact $f$ itself is a sum of convex functions).
Oct 19, 2019 at 2:09	comment	added	Frodo Baggins		Hi, can you give an example of a complicated convex function and how it arises from a simpler convex function?
Oct 18, 2019 at 19:55	review	First posts
Oct 21, 2019 at 11:08
Oct 18, 2019 at 19:51	history	answered	Nikolaj Pedersen	CC BY-SA 4.0