Convergence of (0,1,2,3) Interpolation on an Arbitrary System of Nodes
Keywords:
Hermite interpolation, Hermite-Fejér interpolation, Convergence.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.