Best 𝐿_{𝑝} approximation

Abstract

A new algorithm is presented for the best L p {L_p} approximation of a continuous function over a discrete set or a finite interval with 2 > p > ∞ 2 > p > \infty . Methods to accelerate the convergence of the Rice-Usow extension of Lawson’s algorithm as well as the new algorithm are presented, and the result of a numerical example is given.