We investigate mean convergence of Lagrange interpolation at the zeros of orthogonal polynomials pn
(W
2, x) for Erdös weights W
2 = e
-2Q
. The archetypal example is Wk,α
= exp(—Qk,α
), where
α > 1, k ≥ 1, and is the k-th iterated exponential. Following is our main result: Let 1 < p < ∞, Δ ∊ ℝ, k > 0. Let Ln
[f] denote the Lagrange interpolation polynomial to ƒ at the zeros of pn
(W
2, x) = pn
(e
-2Q
, x). Then for
to hold for every continuous function ƒ: ℝ —> ℝ satisfying
it is necessary and sufficient that