Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables

• Datum: 2018
• Hauptverfasser: Romanyuk, A. S., Романюк, А. С.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1553
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain the exact order estimates for the Kolmogorov widths of the classes $W^g_p$ of periodic functions of one variable generated by the integral operators with kernels $g(x, y)$ from the Nikol’skii – Besov classes $B^r_{p,\theta}$. We also study the behavior of bilinear approximations to the cla...