0
$\begingroup$

for a project I need to prove quasiconvexity of several general functions. Can I argue that the union (or sum, or difference...) of quasiconvex functions is again quasiconvex? I do know that the sum of convex functions is again convex, does this apply to quasiconvexity?

My functions may include the log-function, which is quasiconvex but not convex (for example).

Thank you very much for your help.

Best wishes, Britta

$\endgroup$
0
$\begingroup$

Sum of two quasiconvex functions need not to be quasiconvex. Have you seen this http://en.wikipedia.org/wiki/Quasiconvex_function?

$\endgroup$
  • $\begingroup$ Thank you very much. I did see that, however, it does not answer my question for any other union of functions i.e. log(x^2+b) or something like that. Thanks a lot! $\endgroup$ – BrittaN Apr 27 '15 at 6:43

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.