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

### Abstract

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 values of the other variables. A Jackson-type inequality is investigated for these approximations in terms of the mixed module of continuity.
Published

25.08.2018

How to Cite

*Ukrains’kyi Matematychnyi Zhurnal*, Vol. 70, no. 8, Aug. 2018, pp. 1143-8, https://umj.imath.kiev.ua/index.php/umj/article/view/1624.

Issue

Section

Short communications