Convergence of the Derivatives of Hermite-Fejér Interpolation Polynomials of Higher Order Based at the Zeros of Freud Polynomials Original Research Article

We shall prove pointwise convergence of the derivatives of Hermite-Fejér interpolation polynomials of higher order based at the zeros of orthonormal polynomials with respect to Freud weights exp(−xm), m = 2, 4, 6, ....