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.