On one extremal problem for positive series

• Date: 2005
• Main Authors: Stepanets, O. I., Shydlich, A. L., Степанець, О. І., Шидліч, А. Л.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3718
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The approximation properties of the spaces $S^p_{\varphi}$ introduced by Stepanets’ were studied in a series of works of Stepanets’ and his disciples. In these works, problems related to the determination of exact values of $n$-term approximations of $q$-ellipsoids in these spaces were reduced to so...