prove that
a^4 + b^4 + c^2 greater than or equal to a^2bc + b^2ac + c^2ab
a,b,c are all real numbers
thanx for any help
I think you means, :
Because most of these inequalities are cyclic.
Now, by the Cauchy-Swartz Inequality:
By the Cauchy-Swartz Inequality again:
Thus, (by the transitive inequality )
And only equality when .