Quasiconvex Function - Examples

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.

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