Estimation of a K-Functional of Higher Order in Terms of a K-Functional of Lower Order

• Date: 2003
• Main Authors: Radzievskaya, E. I., Radzievskii, G. V., Радзиевская, Е. И., Радзиевский, Г. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4022
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let U j be a finite system of functionals of the form \(U_j (g):= \int _0^1 g^(k_j) ( \tau ) d \sigma _j ( \tau )+ \sum_{l < k_j} c_{j,l} g^(l) (0)\) , and let \(W_{p,U}^r\) be the subspace of the Sobolev space \(W_p^r [0;1]\) , 1 ≤ p ≤ +∞, that consists only of functions g such tha...