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Pointwise convergence of Hermite-Fejér interpolation of higher order for Freud weights

Pointwise convergence of Hermite-Fejér interpolation of higher order for Freud weights

This paper is concerned with the approximation by Hermite-Fejer interpolation of higher order based at the zeros of orthogonal polynomials with respect to the typical Freud weight. We will prove a convergence result for even order and a divergence result for odd order.