Suppose that and are in the closed unit disk.
Prove the inequality .
I've tried to square both sides and expand the equation. However, I'm stuck there. Is there any other way that I can approach this question?
Thanks in advance.
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Use Fernando Revilla
Now we claim that .
We let and substitute with , where . Then we differentiate the equation to get the maximum point. From here we can get . Hence .
Is there any easier method to this problem?
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