Examples
- Every convex function is quasiconvex.
- A concave function can be quasiconvex function. For example log(x) is concave, and it is quasiconvex.
- Any monotonic function is both quasiconvex and quasiconcave. More generally, a function which decreases up to a point and increases from that point on is quasiconvex (compare unimodality).
- The floor function is an example of a quasiconvex function that is neither convex nor continuous.
- If f(x) and g(y) are positive convex decreasing functions, then is quasiconvex.
Read more about this topic: Quasiconvex Function
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