Etude de l'algorithme de Rémès en l'absence de condition de Haar

Summary Using a geometric interpretation, the unicity of a best approximation and the convergence of the Remes-algorithm without the Haar-condition are investigated (in the case of the Tchebycheff-approximation of a continuous function by a linear combination of two continuous functions). Replacing the Haar-condition by a weaker one which is generally satisfied, one obtains a convergence theorem that is weaker than the classical convergence theorem but is sufficient for the applicatons. A generalization of these results is indicated.