Kolmogorov widths of the classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$

• Date: 2017
• Author Affiliations: Г. М. Власик — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Vlasyk, H. M., Власик, Г. М.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/269
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We find the exact order estimates of the Kolmogorov widths of the classes $L_{\beta, p}^\psi$ in the space $L_q$ for some relations between the parameters $p$ and $q$ and certain limitations on the rate of decrease of the function $\psi$.