I have the following constraint that I want to set in CVX:
A+B-C < sqrt(-A^2+(2B+2C)*A-(B-C)^2)
The lhs is affine hence convex.
I also know that the variables A, B, C are always positive.
I proved that under the positivity assumption, the rhs of the inequality above is concave, meaning that the constraint is convex.
How do I formulate the sqrt function on the rhs such that CVX will accept it as a concave function?