Re: doubts
Posted by Kamal on Jun 08, 2009; 3:33am
URL: http://discussion-forum.276.s1.nabble.com/doubts-tp3019376p3041186.html
2006 15
To show quasi concavity use the basic definition
f(x)>=f(x0)
then wtd average of these should be greater than or equal to f(x0)
wts being lambda in between 0 & 1
for quasi convexity apply the above definition for -f
if -f is quasi concave then f will be qusi convex
In the question y<=x implies f(x)>=f(y)
Now the wtd average where the weights run from 0 to 1 will be greater than f(y)
The given function is hence both quasi convex and quasi concave