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**Need help with a complex inequality??**

hey!

i been trying to do this inequality for a 2 hrs now and can't seem to prove it

[tex]|\frac{1}{2}(a+b)|^p \leq \frac{1}{2}(|a|^p+|b|^p)[/tex] where a,b are complex numbers

Can anyone suggest a way??

thanks

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