(a) Use the Recurrent relation for generating the Chebyshev polynomials which is given by To(x) = 1, T1(x) = x, Tn+1(x) = 2xTn(x) –Tn-1(x) to approximate the function with a Maclaurin’s polynomial of order 5. Hence use the Chebyshev polynomials and method of economization to obtain a lesser degree polynomial of approximation, of order 3.
(b) Determine the upper error bound, due to the economization.
(c) Compare and contrast with results obtained using Legendre’s orthogonal polynomials.
Order an Essay Now & Get These Features For Free:
Turnitin Report
Formatting
Title Page
Citation
Outline
