Orthogonal polynomials for exponential weights x^{2 ρ} e^{- 2 Q ( x )} on [ 0, d ), II

Let I = [ 0, d ), where d is finite or infinite. Let W_ρ fenced(x) = x^ρ exp fenced(- Q fenced(x)), where ρ > - frac(1, 2) and Q is continuous and increasing on I, with limit ∞ at d. We obtain further bounds on the orthonormal polynomials associated with the weight W_ρ², finer spacing on their zeros, and estimates of their associated fundamental polynomials of Lagrange interpolation. In addition, we obtain weighted Markov and Bernstein inequalities.