how can i write a code to find maximum error in Lagrange polynomial for given functions?

im having defficulties in writing matlab cod to

• Find the maximum error in using to approximate on the interval [0, 2]. can any one help?

Answer 1

[Torsten]

Choose a fine enough grid x on [0,2], evaluate your function(s) f(x) and the Lagrange polynomial(s) L(x) for the grid points and build abs(f(x)-L(x)). This should give you a good approximate value for the maximum error on [0,2].

[Alvira Yawar]

Hi can you please share a sample program for the same

[Torsten]

If L_eval is your function for evaluating the Lagrange polynomial, you can use

x = linspace(0,2,100);
max_error = max(abs(f(x)-L_eval(x)))