Bernstein-type inequalities for splines defined on the real axis

We obtain exact Bernstein-type inequalities for splines $ s \in {S_{m,h}}\bigcap {{L_2}\left( \mathbb{R} \right)} $ , as well as the exact inequalities estimating, for splines s ∈ S m, h , h > 0; the L p -norms of the Fourier transforms of their kth derivative in terms of the L p -norms of the Fourier transforms of the splines themselves.