0
$\begingroup$

I have been thinking about this for a while now, is there a subadditive functional which is not a convex functional?

$\endgroup$
  • $\begingroup$ If $T$ is a subadditive functional which is homogeneous of order $1$, then it is convex. $\endgroup$ – saz Jan 10 at 12:27
2
$\begingroup$

On the real line $|\sin (x+y)| =|\sin\, x \cos\, y+\cos\, x \sin \,y| \leq |\sin (x)|+|\sin (y)|$ but $|\sin (x)|$ is not convex.

$\endgroup$
  • $\begingroup$ Sir, you're real good! (+1) $\endgroup$ – Omojola Micheal Jan 10 at 12:57

Your Answer

By clicking "Post Your Answer", you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.