TY - JOUR
AU - Yu. A. Babich
AU - T. F. Michaylova
PY - 2018/08/25
Y2 - 2022/09/30
TI - Approximation of periodic functions of many variables by
functions of smaller number of variables in Orlicz metric spaces
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 70
IS - 8
SE - Short communications
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1624
AB - 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 investigatedfor these approximations in terms of the mixed module of continuity.
ER -