Abstract :
RLet W ≔ e−Q where Q is even, sufficiently smooth, and of faster than polynomial growth at infinity. Such a function W is often called an Erdös weight. In this paper we prove Nikolskii inequalities for Erdös weights. We also motivate the usefulness of, and prove a Bernstein inequality of, the form [formula] for fixed α ≥ 12, β > 1, P ∈ Pn, n large enough and C > 0 independent of n, P, and x ∈ R. Here, an is the nth Mhaskar-Rahmanov-Saff number for W.
