Convergence of Hermite and Hermite-Fejér Interpolation of Higher Order for Freud Weights

We investigate weighted Lp(0<p<∞) convergence of Hermite and Hermite–Fejer interpolation polynomials of higher order at the zeros of Freud orthogonal polynomials on the real line. Our results cover as special cases Lagrange, Hermite–Fejer and Krylov–Stayermann interpolation polynomials.

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