Linear/linear rational spline interpolation

For a strictly monotone function y on [a, b] we describe the construction of an interpolating linear/linear rational spline S of smoothness class C 1. We show that for the linear/linear rational splines we obtain ¦S(xi ) − y(xi )¦8 = O(h 4) on uniform mesh xi = a + ih, i = 0,…, n. We prove also the...

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Bibliographic Details
Main Authors: Erge Ideon, Peeter Oja
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2010-11-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/6035