Chapter 3 Interpolation and polynomial Approximation
Chapter 3 Interpolation and polynomial Approximation
The Taylor polynomial p(x 1+x+0.5x which approximates f(x)=e"over(-1, 11 15 p(x) 0.5 -08-06-04-02 04 0.6 08
The Chebyshev approximation q(x=1+1.129772X+0. 532042x for f(x=e over[-1, 1]1 25 15 y=q(x) 05 08-06-04-02 06
The graph of the collocation polynomial that passes through(1, 2), (2, 1),(3, 5), (4, 6), and(5. 1) 15 35 re 1.3
3. 1 Taylor series and calculation of Functions
3.1 Taylor Series and Calculation of Functions