Approximation of periodic functions of many variables by functions of smaller number of variables in Orlicz metric spaces

• Date: 2018
• Main Authors: Babich, Yu. A., Michaylova, T. F., Бабич, Ю. А., Михайлова, Т. Ф.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1624
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For periodic functions of many variables, the method of their approximation is offered in the Orlicz spaces $L_{\varphi} (T^m)$. In this method, the functions are approximated by the sums of functions of smaller number of variables, each of which is piecewiswe-constant in one of variables for fixed...