Interpolate the Runge function of Example 10.6 at Chebyshev points for n from 10 to 170 in increments of 10. Calculate the maximum interpolation error on the uniform evaluation mesh x = -1:.001:1 and plot the error vs. polynomial degree as in Figure 10.8 using semilogy. Observe spectral accuracy.
Example 10.6
A long time ago, C. Runge gave the innocent-looking example
