is the Superellipse function convex or not?

60 Views Asked by At

I'm trying to solve an optimization problem and i need to know if the following constraint of Superellipse is convex or not

$\left|\frac{x-x_o}{a}\right|^n + \left|\frac{y-y_o}{b} \right|^n \geq 1$

where $x$ and$y$ are variables, {$x_o$ ,$y_o$} are constants, and {a,b,n} are positive constants.

Thanks