TY - JOUR
AU - S. I. Bezkryla
AU - A. N. Nesterenko
AU - A. V. Chaikovs'kyi
PY - 2019/03/25
Y2 - 2020/11/27
TI - On one inequality for the moduli of continuity
of fractional order generated by semigroups of operators
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 71
IS - 3
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1441
AB - A new inequality for the moduli of continuity of fractional order generated by semigroups of operators is obtained. This inequality implies a generalization of the well-known statement that there exists an $α$-majorant, which is not a modulus of continuity of order $α$ generated by a semigroup of operators, to the case of noninteger values of $α$.
ER -