Determining the Rolle function in Lagrange interpolatory approximation
Numerical Analysis
2025-10-22 v2 Numerical Analysis
Abstract
We determine the Rolle function in Lagrange polynomial approximation using a suitable differential equation. We then propose a device for improving the Lagrange approximation by exploiting our knowledge of the Rolle function.
Cite
@article{arxiv.1810.09601,
title = {Determining the Rolle function in Lagrange interpolatory approximation},
author = {J. S. C. Prentice},
journal= {arXiv preprint arXiv:1810.09601},
year = {2025}
}
Comments
9 pages including 3 pages of figures