DETERMINING THE ROLLE FUNCTION IN HERMITE INTERPOLATORY APPROXIMATION BY SOLVING AN APPROPRIATE DIFFERENTIAL EQUATION

Far East Journal of Mathematical Sciences (FJMS) 2026 Open access

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Authors: J.S.C. Prentice
DOI: 10.17654/0972087126094
Cited by: 0

Abstract

We determine the pointwise error in Hermite interpolation by numerically solving an appropriate differential equation, derived from the error term itself. We use this knowledge to approximate the error term by means of a polynomial, which is then added to the original Hermite polynomial to form a more accurate approximation. An example demonstrates that improvements in accuracy are significant.

Fields of Study & Subjects

Numerical methods in engineering Iterative Methods for Nonlinear Equations Turbomachinery Performance and Optimization

Publication details

Journal / source
Far East Journal of Mathematical Sciences (FJMS)
Volume
143
Issue
5
Pages
1623–1633
Publication date
14 May 2026
Language
EN