Quasiconvex function

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Level sets are convex. Equivalently, LaTeX: X is a convex set and LaTeX: \textstyle f(ax + (1-a)y) \le \max \left \{f(x), f(y) \right \} \mbox{ for all } x, y \in X and LaTeX: a in the interval LaTeX: [0,1].


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