Approximating exponential and logarithmic functions using polynomial interpolation

• Sheldon P. Gordon ^[1] ; Yajun Yang ^[1]
  1. [1] State University of New York

     State University of New York

     City of Albany, Estados Unidos

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 48, Nº. 3, 2017, págs. 455-473
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • This article takes a closer look at the problem of approximating the exponential and logarithmic functions using polynomials. Either as an alternative to or a precursor to Taylor polynomial approximations at the precalculus level, interpolating polynomials are considered. A measure of error is given and the behaviour of the error function is analysed. The results of interpolating polynomials are compared with those of Taylor polynomials.