Pseudoconvex function

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LaTeX: f is in LaTeX: C^1 and satisfies the property: LaTeX: \textstyle \nabla f(x)(y-x) \ge 0 implies LaTeX: \textstyle f(y) \ge f(x). While every differentiable convex function is pseudoconvex, LaTeX: \textstyle \arctan(x) is an example of a pseudoconvex function that is not convex.


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