a,b,c>0 and a^4+b^4+c^4 = 3 . Prove the :
sigma\frac{1}{4-ab} =< 1
Do you mean this?Originally Posted by math
If and , then
What kind of sum? There is only one term. Or do you mean
?
This inequality appears to be correct. It can probably be proved using Lagrange multipliers: Set and . You want to find the maximum of G subject to F(a,b,c) = 3. The Lagrange equations are
Good luck