- #1
Jonas Rist
- 7
- 0
Hello,
how can I proof this:
given: a convex function on an open interval I,which is a subset of R.
I have to show that the function can be differentiated on the whole interval.
I already proved the following for a<b<c, a,b,c in I:
f(b)-f(a))/(b-a)<(f(c)-f(a))/(c-a)<(f(c)-f(b))/(c-b).
Thanks for help!
Jonas
how can I proof this:
given: a convex function on an open interval I,which is a subset of R.
I have to show that the function can be differentiated on the whole interval.
I already proved the following for a<b<c, a,b,c in I:
f(b)-f(a))/(b-a)<(f(c)-f(a))/(c-a)<(f(c)-f(b))/(c-b).
Thanks for help!
Jonas