The result follows immediately from Muirhead: \((4,0,0)\succ \left(\dfrac{3}{2},\dfrac{3}{2},1\right)\)
–
Daniel Liu
·
2 years, 11 months ago

Log in to reply

@Daniel Liu
–
Except it is not given that \(x,y,z>0\) and Muirhead's inequality holds for positive reals.
–
Mathh Mathh
·
2 years, 11 months ago

Log in to reply

Are \(x,y,z\) positive reals or just reals? (the same question for some of the other problems. You should provide the given restrictions on \(x,y,z\) since otherwise we're not quite sure what they are).
–
Mathh Mathh
·
2 years, 11 months ago

## Comments

Sort by:

TopNewestUse AM-GM. – Joshua Ong · 2 years, 10 months ago

Log in to reply

The result follows immediately from Muirhead: \((4,0,0)\succ \left(\dfrac{3}{2},\dfrac{3}{2},1\right)\) – Daniel Liu · 2 years, 11 months ago

Log in to reply

– Mathh Mathh · 2 years, 11 months ago

Except it is not given that \(x,y,z>0\) and Muirhead's inequality holds for positive reals.Log in to reply

Are \(x,y,z\) positive reals or just reals? (the same question for some of the other problems. You should provide the given restrictions on \(x,y,z\) since otherwise we're not quite sure what they are). – Mathh Mathh · 2 years, 11 months ago

Log in to reply