Chapter 3 Interpolation and polyno(dal Approximation
Chapter 3 Interpolation and polynomial Approximation
The Taylor polynomial p(x=1++0.5x which approximates f(x =e over [-1, 1] 2.5 y=p(x) 0.5 -08-06-04-02 04 06 0.8 Figure 1.1
The Chebyshev approximation q(x =1+.129772x+0.532042x for f(x=e over 1-1, 1] 15 08-06-04-02 02 04 06 08 Figure 1.2
The graph of the collocation polynomial that passes through(1, 2), (2, 1),(3, 5), (4, 6), and(5, 1) 15 Figure 1.3
3.1 Taylor Series and Calculation d Functions
3.1 Taylor Series and Calculation of Functions