Polynomials And Discontinuous Functions
Polynomial approximation presents challenges when dealing with discontinuous functions. Functions with discontinuities exhibit sudden jumps. Approximating these jumps using smooth polynomials introduces the Gibbs phenomenon. This phenomenon is a persistent overshoot near the discontinuity. Fourier series, another method for function approximation, shares similar issues with discontinuous functions approximation. The Art of Taming Jumps: Approximating the … Read more