<?xml version="1.0" encoding='utf-8'?>
<!DOCTYPE wml PUBLIC "-//WAPFORUM//DTD WML 1.1//EN" "http://www.wapforum.org/DTD/wml_1.1.xml">
<wml>
<card id="card1" title="Quasiconvex function - Page 14 - Wikipedia">
<p>
<a accesskey="1" href="page.php?w=Quasiconvex_function&amp;p=13">1.Previous</a><br />
<a accesskey="3" href="page.php?w=Quasiconvex_function&amp;p=15">3.Next</a>
</p>
<p>quasiconcave, and the minimum of strictly-quasiconcave functions is strictly-quasiconcave.<br/>
* composition with a non-decreasing function :  quasiconvex,  non-decreasing, then  is quasiconvex. Similarly, if  quasiconcave,  non-decreasing, then  is quasiconcave.<br/>
* minimization (i.e.  quasiconvex,  convex set, then  is quasiconvex)</p>

<p><big>Operations not preserving quasiconvexity</big></p>
<p>
* The sum of quasiconvex functions defined on the same domain need not be quasiconvex: In other words, if  are quasiconvex, then  need not be quasiconvex.</p><p>
<a accesskey="1" href="page.php?w=Quasiconvex_function&amp;p=13">1.Previous</a><br />
<a accesskey="3" href="page.php?w=Quasiconvex_function&amp;p=15">3.Next</a>
</p>

<do type="prev" label="Search">
        <go href="search.wml"/>
</do>

</card>
</wml>
