Combined Shepard operators with Chebyshev nodes

In this paper we study combined Shepard-Lagrange univariate interpolation operator\[S_{n,\mu}^{L,m}(Y;f,x):=S_{n,\mu}^{L,m}(f,x)=\frac{\sum\limits_{k=0}^{n+1}\left\vert x-y_{n,k}\right\vert ^{-\mu}(L_{m}f)(x,y_{n,k})}{\sum\limits_{k=0}^{n+1}\left\vert x-y_{n,k}\right\vert ^{-\mu}},\]where \((y_{n,k}...

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Bibliographic Details
Main Authors: Cristina O. Oşan, Radu T. Trîmbitaş
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2004-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/761