"Even with THAT Step Size?"

• Autores: Joe Latulippe, Jennifer Switkes
• Localización: Mathematics magazine, ISSN 0025-570X, Vol. 84, Nº. 5, 2011, págs. 377-385
• Idioma: inglés
• DOI: 10.4169/math.mag.84.5.377
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• Resumen

  • The 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.