The result follows immediately from Muirhead: \((4,0,0)\succ \left(\dfrac{3}{2},\dfrac{3}{2},1\right)\)
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Daniel Liu
·
2 years, 8 months ago

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@Daniel Liu
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Except it is not given that \(x,y,z>0\) and Muirhead's inequality holds for positive reals.
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Mathh Mathh
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2 years, 8 months 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).
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Mathh Mathh
·
2 years, 8 months ago

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TopNewestUse AM-GM. – Joshua Ong · 2 years, 8 months 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 · 2 years, 8 months ago

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– Mathh Mathh · 2 years, 8 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, 8 months ago

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