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One Inequality for the Moduli of Continuity of Fractional Order Generated by Semigroups of Operators

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Ukrainian Mathematical Journal Aims and scope

A new inequality for the moduli of continuity of fractional order generated by semigroups of operators is obtained. This inequality yields a generalization to the case of noninteger values of α of the well-known assertion that there is an α-majorant, which is not a modulus of continuity of order α generated by a semigroup of operators,

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Authors and Affiliations

  1. Drahomanov National Pedagogic University, Kyiv, Ukraine

    S. I. Bezkryla

  2. Shevchenko Kyiv National University, Kyiv, Ukraine

    O. N. Nesterenko & A. V. Chaikovs’kyi

Authors
  1. S. I. Bezkryla
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  2. O. N. Nesterenko
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  3. A. V. Chaikovs’kyi
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Corresponding author

Correspondence to O. N. Nesterenko.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 3, pp. 310−324, March, 2019.

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Bezkryla, S.I., Nesterenko, O.N. & Chaikovs’kyi, A.V. One Inequality for the Moduli of Continuity of Fractional Order Generated by Semigroups of Operators. Ukr Math J 71, 352–369 (2019). https://doi.org/10.1007/s11253-019-01651-6

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  • DOI: https://doi.org/10.1007/s11253-019-01651-6

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