Convergence of Modified Lagrange Interpolation toLp-Functions Based on the Zeros of Orthonormal Polynomials with Freud Weights Original Research Article

We consider the “Freud weight”W2Q(x)=exp(−Q(x)). let 10. Then we have limn→∞ ∫∞−∞ [|f(x)−L*n(f; x)| WQ(x)(1+|x|)−Δ]p dx=0, whereΔis a constant depending onpandα.