On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$

• Date: 1994
• Main Authors: Babenko, V. F., Glushko, V. N., Бабенко, В. Ф., Глушко, В. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5711
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The problem of uniqueness of the best approximations in the space $L_1[a, b]$ is studied We consider the problem of the best approximation and the best $(\alpha, \beta)$-approximation of continuous functions and the problem of the best one-sided approximation of continuously differentiable functio...