@article{Bezkryla_Nesterenko_Chaikovs’kyi_2019, title={On one inequality for the moduli of continuity
of fractional order generated by semigroups of operators}, volume={71}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/1441}, abstractNote={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 $α$.}, number={3}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={BezkrylaS. I. and NesterenkoA. N. and Chaikovs’kyiA. V.}, year={2019}, month={Mar.}, pages={310-324} }