Strong Asymptotics for Extremal Polynomials Associated with Weights on R

0. The results are consequences of a strengthened form of the following assertion: Given 0 p, f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e.