  We obtain order estimates of approximation of functions from the classes
$S^{\Omega}_{p,\theta}B (\mathbb{R}^d)$ in the space $L_q(\mathbb{R}^d)$,
$1<p<q<\infty$, by entire functions of exponential type with supports of their
Fourier transforms in sets generated by the level surfaces of a function
$\Omega$.
