Identifying non convex constraints

37 Views Asked by At

I have an optimization problem. I can figure that whether the objective function is concave or not w.r.t a certain variable by taking a 2nd derivative . If the second derivative is less than zero than it means that the objective function is concave. But how do I determine whether the constraints are convex or not . for example if I have constraint like this is this a convex constraint? $alog_2(1+x)-a.b.c x => a.dlog_2(1+x)-b.x$

where a, b, c and d are constants and I am considering the variable $x$