TY - JOUR
AU - Ramazan Akgün
PY - 2023/08/30
Y2 - 2023/09/21
TI - A modulus of smoothness for some Banach function spaces
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 75
IS - 8
SE - Research articles
DO - 10.3842/umzh.v75i8.970
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/970
AB - UDC 517.5Based on the Steklov operator, we consider a modulus of smoothness of functions in some Banach function spaces, which can be not translation invariant and establish its main properties. A constructive characterization of the Lipschitz class is obtained by using the Jackson-type direct theorem and inverse theorem of trigonometric approximation. As application, we present several examples of related (weighted) function spaces.
ER -