The Mathematical Seminar: Convergence of interpolation polynomials

Abstract: I will discuss some results regarding how well certain classes of functions can be described as limits of Lagrange interpolation polynomials. These results turn out to depend a lot on the choice of interpolation points. Somewhat surprisingly, equally spaced points are a rather bad choice, but zeros of orthogonal polynomials are much more appropriate.

The mathematics seminar is a seminar series for students at the bachelor's programme in mathematics. All interested are also welcome to participate.