A remark on Hermite-Lagrange interpolation

AbstractA simple proof of a recent result of G. Berger and M. Tasche concerning the coefficients of the Hermite-Lagrange 2-point interpolation polynomial and uniform approximation by such polynomials is given. This provides an easy access to a number of consequences of their result which have attracted considerable interest, as e.g. properties of certain expansions of completely convex functions and, in particular, Schur's expansion of sin πx