A sampling discretization theorem for the square norm of functions from a finite dimensional subspace satisfying Nikol'skii's inequality is proved. The obtained upper bound on the number of sampling points is of the order of the dimension of the subspace .
We prove a sampling discretization theorem for the square norm of functions from a finite dimensional subspace satisfying Nikol'skii's inequality with an upper bound on the number of sampling points of the order of the dimension of the subspace 
R
A
We prove a
R
is proved. The obtained
with an
D
is
D
.