I am currently finishing a project for a module I have in Mathematical Investigations. I have been looking at inequalities and ways to produce true inequalities in homogeneous symmetric form. I have been researching many theorems etc and have been spending quite some time on Muirheads Inequality of which I have found several different proofs. As I am trying to digest this proof and write a paper showing I understand it I would like to ask if you could recommend which proofs you have found to be the most elegant? or most interesting. Thanks in advance.
Can anyone point me to an elegantly simple proof of Muirhead's Inequality?
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inequality