Convexity of set A = {(x,y) in R^2  x^4+y^4 =< 1, x>=0
How can I show that the set A = {(x,y) in R^2  x^4+y^4 =< 1, x>=0 y>=0} is convex.

I am sure it can be shown by definition, but I propose an easy way (not rigorous though)
The function is (weakly) convex The lower contour set (=<1) of a convect function is convex. 
All times are GMT 5. The time now is 12:07 AM. 
Powered by vBulletin Copyright ©2000  2014, Jelsoft Enterprises Ltd.
© 2014 Physics Forums