Quadrature Sums and Lagrange Interpolation for General Exponential Weights

where > 0. Once the theory had been developed in its entirety, it became clear that one could simultaneously treat not only weights like those above, but also not necessarily even weights on a general real interval. See [3], [12], [16] for various perspectives on this type of potential theory and its applications. One important application is to Lagrange interpolation. Mean convergence of Lagrange interpolation at zeros of orthogonal polynomials has been thoroughly investigated for even exponential weights see, for example, the surveys [7], [11], [15], [18]. In this paper, we shall extend many of those results by also considering non-even weights on a real interval