The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes

• Date: 1998
• Main Authors: Babenko, V. F., Leis, Azar, Бабенко, В. Ф., Лейс, Азар
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4796
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For classes of periodic functions defined by constraints imposed on the $L_1$-norm of the result of action of differential operators with constant coefficients and real spectrum on these functions, we determine the exact values of the best $L_1$-approximations by generalized splines from the classes...