On the order of relative approximation of classes of differentiable periodic functions by splines

• Date: 2010
• Main Authors: Babenko, V. F., Parfinovych, N. V., Бабенко, В. Ф., Парфинович, Н. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2851
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the case where $n → ∞$, we obtain order equalities for the best $L_q$ -approximations of the classes $W_p^r ,\; 1 ≤ q ≤ p ≤ 2$, of differentiable periodical functions by splines from these classes.