Muirhead’s theorem

Let 0s1sn and 0t1tn be real numbers such that


Then for any nonnegative numbers x1,,xn,


where the sums run over all permutationsMathworldPlanetmath σ of {1,2,,n}.

Title Muirhead’s theorem
Canonical name MuirheadsTheorem
Date of creation 2013-03-22 13:15:25
Last modified on 2013-03-22 13:15:25
Owner Koro (127)
Last modified by Koro (127)
Numerical id 7
Author Koro (127)
Entry type Theorem
Classification msc 26D15
Synonym Muirhead’s inequalityMathworldPlanetmath
Related topic CharacterizationsOfMajorization