About rel_entr(positive, convex)

Nonconvex
1

Hello,everyone! I have a expression y(k), where w_{5*3} is the variable.

x(k)={\sum}_{k=1:3}(|1_{1*5}*w(1:5,k)|^2) -2(1_{1*5}*w(1:5,k))
y(k)= - log(x(k) )

And, my code is as follows,is it right?
Thank you for your attention!

 one= ones(1,5);
 w=w(1:5,3);% variable
 for k=1:3
      W(k) = pow_pos( norm(one*w(1:5,k)), 2) ;
 end
 for k=1:3
      x(k) = sum(W(1:3)) -2* ( one*w(1:5,k) ) ;
      y(k) = rel_entr(1,x(k));
 end
2

Have you proven that is convex (or concave)?