Loterre: Mathematics: quasiconvex function

mathematical analysis > function > convex function > quasiconvex function

mathematical analysis > real analysis > real-valued function > convex function > quasiconvex function

geometry > convex analysis > convex function > quasiconvex function

optimization > quasiconvex function

quasiconvex function

In mathematics, a quasiconvex function is a real-valued function defined on an interval or on a convex subset of a real vector space such that the inverse image of any set of the form ( − ∞ , a ) is a convex set. For a function of a single variable, along any stretch of the curve the highest point is one of the endpoints. The negative of a quasiconvex function is said to be quasiconcave.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Quasiconvex_function)

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