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== Examples ==
* <math> f(x)=\min(x) </math> is Schur-concave while <math> f(x)=\max(x) </math> is Schur-convex. This can be seen directly from the definition.
* If <math>f</math> is (strictly) Schur-convex and <math>g</math> is (strictly) monotonically increasing, then <math>g\circ f</math> is (strictly) Schur-convex.
* The [[Shannon entropy]] function <math>\sum_{i=1}^d{P_i \cdot \log_2{\frac{1}{P_i}}}</math> is Schur-concave.
* The [[Rényi entropy]] function is also Schur-concave.
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