Quote
B. Lenze, "Uniqueness in best one-sided L1-approximation by algebraic polynomials on unbounded intervals," Journal of Approximation Theory, vol. 57, no. 2, pp. 169-177, 1989.
Content
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.
References
DOI 10.1016/0021-9045(89)90054-3