Function approximation

Approximating a function over a whole interval: Bernstein polynomials and the Weierstrass theorem, Padé rational approximants, and Remez’s best uniform (minimax) polynomials.

Bernstein polynomials and the Weierstrass theorem

Bernstein polynomials and the Weierstrass theorem

Padé approximants beyond the radius of convergence

Padé approximants beyond the radius of convergence

Remez’s algorithm and best uniform approximation

Remez's algorithm and best uniform approximation