On $(0,1,2)$ interpolation in uniform metric
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- by J. Szabados and A. K. Varma PDF
- Proc. Amer. Math. Soc. 109 (1990), 975-979 Request permission
Abstract:
From the well known theorem of G. Faber it follows that for any given matrix of nodes there exists a continuous function for which the Lagrange interpolation polynomial ${L_n}[f,x]$, generated by the $n$ th row of the matrix, does not tend uniformly to $f(x)$. In this paper we shall provide analogous results for the related operator ${H_{n,3}}[f,x]$ as defined below.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 975-979
- MSC: Primary 41A05; Secondary 41A10
- DOI: https://doi.org/10.1090/S0002-9939-1990-1013983-X
- MathSciNet review: 1013983