Hi. I need help with this:
Show that if f is concave up on [a,b] and if there exists numbers
and
such that
then
True for j=2, prove for j=p+1
I'm not sure how to show this. Can I maybe substitute
and then use the known case p=2 like this
I would really appreciate it if someone could give me a hint. If it's correct to do it the way I did it now (which i doubt), then how do I know if I can do the substitution I just did?