Abstract
SummaryThe centered difference quotient is the simplest centered approximation for the derivative of a function at a point. In this paper, we explore and apply general centered approximation formulae for the derivative of a function at a point using any number of weighted evenly-spaced nodes. The resulting formulae have connections to both Vandermonde matrices and Lagrange polynomials and lead to interesting combinatorial identities.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.