We obtain new sharp Kolmogorov-type inequalities for the fractional derivatives of functions defined on the half line.
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S. G. Samko, A. A. Kilbas, and O. I. Marichev, Integrals and Derivatives of Fractional Order and Some Their Applications [in Russian], Nauka i Tekhnika, Minsk (1987).
V. V. Arestov, “Inequalities for fractional derivatives on the half line,” Approxim. Theory, 4, 19–34 (1979).
V. F. Babenko, N. P. Korneichuk, V. A. Kofanov, and S. A. Pichugov, Inequalities for Derivatives and Their Applications [in Russian], Naukova Dumka, Kiev (2003).
V. P. Motornyi, V. F. Babenko, A. A. Dovgoshei, and O. I. Kuznetsova, Approximation Theory and Harmonic Analysis [in Russian], Naukova Dumka, Kiev (2012).
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 1, pp. 71–78, January, 2014.
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Levchenko, D.A. Kolmogorov-Type Inequalities for Fractional Derivatives on the Half Line. Ukr Math J 66, 77–85 (2014). https://doi.org/10.1007/s11253-014-0913-z
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DOI: https://doi.org/10.1007/s11253-014-0913-z