In mathematics, Muirhead's inequality, named after Robert Franklin Muirhead, also known as the "bunching" method, generalizes the inequality of arithmetic and geometric means. == Preliminary definitions == === a-mean === For any real vector a = ( a 1 , … , a n ) {\displaystyle a=(a_{1},\dots ,a_{n})} define the "a-mean" [a] of positive real numbers x1, ..., xn by [ a ] = 1 n !
In mathematics, Muirhead's inequality, named after Robert Franklin Muirhead, also known as the "bunching" method, generalizes the inequality of arithmetic and geometric means. == Preliminary definitions == === a-mean === For any real vector a = ( a 1 , … , a n ) {\displaystyle a=(a_{1},\dots ,a_{n})} define the "a-mean" [a] of positive real numbers x1, ..., xn by [ a ] = 1 n !
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