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Convexity of set A = {(x,y) in R^2  x^4+y^4 =< 1, x>=0 
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#1
Mar1808, 09:34 AM

P: 47

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



#2
Mar2108, 11:41 PM

P: 7

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. 


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