On mean convergence of Hermite-Fejér interpolation
type: Item
instance of: scholarly article
title: On mean convergence of Hermite-Fejér interpolation
zbMATH Open document ID: 0848.41002
DOI: 10.1007/BF01874491
published in: Acta Mathematica Hungarica
publication date: 1996-04-21T00:00:00Z
review text: If \(H_n (f, x)\) is the Hermite-Fejér interpolation polynomial of the function \(f\) based on the zeros of the Chebyshev polynomial and if \[ |f|_{w,2}= \Biggl( \int^1_{-1} {1\over {\sqrt {1-x^2}}} |f(x) |^2 dx \Biggr)^{1/2} \] then for each polynomial \(f\neq \text{const.}\), \(|H_n (f, x)- f(x) |_{w,2} \sim 1/n\).
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 42A10
zbMATH DE Number: 868508
zbMATH Keywords: Hermite-Fejér interpolation
author: Guo Hua Min
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 868508