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Estimates for the norms of fractional derivatives in terms of integral moduli of continuity and their applications

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Publication:1759979
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DOI10.1007/s11253-012-0581-9zbMath1254.26009OpenAlexW2023640288MaRDI QIDQ1759979

Vladislav F. Babenko, Mariya S. Churilova

Publication date: 23 November 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0581-9


zbMATH Keywords

fractional derivatives\(L_p\)-moduli of continuitytruncated derivatives


Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)




Cites Work

  • On the Kolmogorov inequality for fractional derivatives on the half-line
  • Best approximation of unbounded operators by bounded ones
  • Best approximation of linear operators
  • Investigations of dnepropetrovsk mathematicians related to inequalities for derivatives of periodic functions and their applications
  • Approximation of unbounded operators by bounded operators and related extremal problems
  • Comparison of Exact Constants in Inequalities for Derivatives of Functions Defined on the Real Axis and a Circle
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