Usually one uses Gauß quadrature to numerically calculate integrals numerically, but is it really the best method? After setting up function spaces of finite smoothness, we will investigate the convergence rate of the Gauß quadrature on a special set of functions of finite smoothness and set upper and lower bounds for the worst case error. Furthermore we will show that the trapezoid rule converges even faster when trying to compute the given integrals, by investigating upper and lower bounds for the worst case error.
https://univienna.zoom.us/j/62077153839?pwd=T3pxeHNRNEU0RlFoY1J2cnIzbzU5dz09