[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2007.22.3.475

HIGH-DEGREE INTERPOLATION RULES GENERATED BY A LINEAR FUNCTIONAL

Kim, Kyung-Joong (SCHOOL OF GENERAL STUDIES HANKUK AVIATION UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.22, no.3, 2007 , pp. 475-485 More about this Journal

Abstract

We construct high-degree interpolation rules using not only pointwise values of a function but also of its derivatives up to the p-th order at equally spaced nodes on a closed and bounded interval of interest by introducing a linear functional from which we produce systems of linear equations. The linear systems will lead to a conclusion that the rules are uniquely determined for the nodes. An example is provided to compare the rules with the classical interpolating polynomials.

Keywords

interpolation rule;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By SCOPUS : 0

Reference
Cited By KSCI

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