Let be a function which is analytic on and inside the circle and which satisfies for all on the circle . Prove that . By Cauchy's inequality i managed to obtain . How do i proceed to prove that ? Any help/suggestion is welcome!
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Originally Posted by alphabeta89 How do i proceed to prove that ? Any help/suggestion is welcome! Hint: and .
use the Cauchy integral formula to evaluate and estimate f(0) as an integral over the unit circle.
Last edited by hedi; Nov 16th 2012 at 05:16 AM.
Originally Posted by FernandoRevilla Hint: and . Hi, does Cauchy's inequality hold for in this case?
Yes,see attached.
Originally Posted by hedi Yes,see attached. Thanks man!
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