  Let $V\subset\R^m$ be a convex body, symmetric about all coordinate
hyperplanes, and let $\PP_{aV},\, a\ge 0$, be a set of all algebraic
polynomials whose Newton polyhedra are subsets of $aV$. We prove a limit
equality as $a\to \iy$ between the sharp constant in the multivariate
Markov-Bernstein-Nikolskii type inequalities for polynomials from $\PP_{aV}$
and the corresponding constant for entire functions of exponential type with
the spectrum in $V$.
