Uniqueness in best one-sided L1-approximation by algebraic polynomials on unbounded intervals

n this paper we extend the uniqueness result of Bojanic and DeVore [Enseign. Math. 12 (1966), 139-164] concerning best one-sided polynomial L1-approximation on compact intervals to the case of unbounded real intervals. We show that Theorem 3 of the above reference continues to hold in case of noncompact intervals of approximation.