POLYNOMIAL-FITTING INTERPOLATION RULES GENERATED BY A LINEAR FUNCTIONAL

- Journal title : Communications of the Korean Mathematical Society
- Volume 21, Issue 2, 2006, pp.397-407
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2006.21.2.397

Title & Authors

POLYNOMIAL-FITTING INTERPOLATION RULES GENERATED BY A LINEAR FUNCTIONAL

Kim Kyung-Joong;

Kim Kyung-Joong;

Abstract

We construct polynomial-fitting interpolation rules to agree with a function f and its first derivative f' at equally spaced nodes on the interval of interest by introducing a linear functional with which we produce systems of linear equations. We also introduce a matrix whose determinant is not zero. Such a property makes it possible to solve the linear systems and then leads to a conclusion that the rules are uniquely determined for the nodes. An example is investigated to compare the rules with Hermite interpolating polynomials.

Keywords

Interpolation rule;Hermite polynomial;

Language

English

Cited by

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