Convexity of set A = {(x,y) in R^2 | x^4+y^4 =< 1, x>=0

by peteryellow
Tags: convexity, x>0
peteryellow is offline
Mar18-08, 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.
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CHatUPenn is offline
Mar21-08, 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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