LAUSR

The approximation theory by linear positive operators investigates how the functions can be best approximated by simpler functions. The most famous basic result for convergence of linear positive operators is due to Weierstrass who introduced an important theorem named Weierstrass’ approximation theorem. At last in 1912 Bernstein introduced the most famous algebraic polynomials Bn.f Ix/ in approximation theory in order to give a constructive proof of Weierstrass’ theorem, which are given by