What are M and R?
Hello, this was a problem on an exam:
From Cauchy's Integral Formula, we get Cauchy's Inequality .
Prove that equality holds if and only if for some with .
Proving is easy, just take the modulus of the nth derivative of f.
How do we prove the other direction?
What I wrote is what was on the exam, but I think that was justified by assuming that z0 = 0.
And yes, what you have is correct, as far as I understood the problem