Lagrange interpolation with exponential weights on (-1,1)

In order to approximate functions defined on (−1, 1) with exponential growth for |x| → 1, we consider interpolation processes based on the zeros of orthonormal polynomials with respect to exponential weights. Convergence results and error estimates in weighted L^p metric and uniform metric are given. In particular, in some function spaces, the related interpolating polynomials behave essentially like the polynomial of best approximation.