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Schur-convex function
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Schur-convex function : ウィキペディア英語版
Schur-convex function
In mathematics, a Schur-convex function, also known as S-convex, isotonic function and order-preserving function is a function f: \mathbb^d\rightarrow \mathbb that for all x,y\in \mathbb^d such that x is majorized by y, one has that f(x)\le f(y). Named after Issai Schur, Schur-convex functions are used in the study of majorization. Every function that is convex and symmetric is also Schur-convex. The opposite implication is not true, but all Schur-convex functions are symmetric (under permutations of the arguments).
== Schur-concave function ==
A function ''f'' is 'Schur-concave' if its negative, -''f'', is Schur-convex.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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