On one inequality for the moduli of continuity of fractional order generated by semigroups of operators

  • S. I. Bezkryla
  • A. N. Nesterenko
  • A. V. Chaikovs'kyi Київ. нац. ун-т iм. Т. Шевченка

Abstract

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 $α$.
Published
25.03.2019
How to Cite
BezkrylaS. I., NesterenkoA. N., and Chaikovs’kyiA. V. “On One Inequality for the Moduli of continuity of Fractional Order Generated by Semigroups of Operators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 3, Mar. 2019, pp. 310-24, http://umj.imath.kiev.ua/index.php/umj/article/view/1441.
Section
Research articles