Convergence of (0,1,2,3) Interpolation on an Arbitrary System of Nodes

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Abstract

Estimations of lower bounds for the fundamental functions of (0,1,2,3) interpolation are given. Based on this result conditions for convergence of (0,1,2,3) interpolation and for Grünwald-type thoerem are essentially simplified and improved.  

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Hermite interpolation Hermite-Fejér interpolation Convergence.
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Convergence of (0,1,2,3) Interpolation on an Arbitrary System of Nodes. (2001). Journal of Computational Mathematics, 19(2), 151-156. https://gsp.tricubic.dev/JCM/article/view/11417