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.
Follow Math Help Forum on Facebook and Google+
Hint : Use Fernando Revilla
(Since ) 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 . Therefore, . Is there any easier method to this problem?
View Tag Cloud