Weighted Lagrange and Hermite-Fejér interpolation on the real line (Q1383252)

In this article, for a wide class of weights, a systematic investigation of the convergence-divergence behavior of Lagrange interpolation is initiated. The author introduces the analogue of the Lebesgue constant and investigates its order of magnitude. In case of a special weight, the author gives a Faber type result for a general systems of nodes. For Hermite weights an exact lower estimate of the norm of projection operators is given. Finally, in the same spirit, the case of Hermite-Fejér interpolation is also considered.