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

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

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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
·
3 years ago

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TopNewestUse AM-GM. – Joshua Ong · 3 years ago

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

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– Mathh Mathh · 3 years 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 · 3 years ago

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