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Uniform or Mean Convergence of Hermite–Fejér Interpolation of Higher Order for Freud Weights
Authors:T. Kasuga  R. Sakai
Affiliation:a Kumamoto National College of Technology, Nishigoshi-Machi, Kikuchi-Gun, Kumamoto, 861-1102, Japan;b Asuke Senior High School, 5, Kawahara, Yagami, Asuke-Cho, Higashikamo-Gun, Aichi, 444-2451, Japan
Abstract:In this paper we show the uniform or mean convergence of Hermite–Fejér interpolation polynomials of higher order based at the zeros of orthonormal polynomials with the typical Freud weight.
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