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Volume 19, Issue 2
Convergence of (0,1,2,3) Interpolation on an Arbitrary System of Nodes

Ying-Guang Shi

J. Comp. Math., 19 (2001), pp. 151-156.

Published online: 2001-04

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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.  

  • Keywords

Hermite interpolation, Hermite-Fejér interpolation, Convergence.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-151, author = {Shi , Ying-Guang}, title = {Convergence of (0,1,2,3) Interpolation on an Arbitrary System of Nodes}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {2}, pages = {151--156}, 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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8967.html} }
TY - JOUR T1 - Convergence of (0,1,2,3) Interpolation on an Arbitrary System of Nodes AU - Shi , Ying-Guang JO - Journal of Computational Mathematics VL - 2 SP - 151 EP - 156 PY - 2001 DA - 2001/04 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8967.html KW - Hermite interpolation, Hermite-Fejér interpolation, Convergence. AB -

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.  

Shi , Ying-Guang. (2001). Convergence of (0,1,2,3) Interpolation on an Arbitrary System of Nodes. Journal of Computational Mathematics. 19 (2). 151-156. doi:
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