Approximating exponential and logarithmic functions using polynomial interpolation. Issue 3 (3rd April 2017)

• Record Type: Journal Article
• Authors: Gordon, Sheldon P.; Yang, Yajun
• Is Part Of: International journal of mathematical education in science and technology. Volume 48:Issue 3(2017)
• Page Start: 455
• Page End: 473
• Publication Date: 2017-04-03
• Subjects: Taylor polynomial -- interpolating polynomial -- Lagrange interpolating formula -- error in an approximation; Mathematics -- Study and teaching -- Periodicals; Mathematics -- Periodicals; 510.07
• DOI: 10.1080/0020739X.2016.1254297
• Languages: English
• ISSNs: 0020-739X

Abstract

ABSTRACT: 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.