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On Kolmogorov-type inequalities for functions defined on a semiaxis

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Abstract

We established necessary and sufficient conditions for the existence of a function from the class S − with given integral norms of three successive derivatives (generally speaking, of fractional order).

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Authors and Affiliations

  1. Dnepropetrovsk National University, Dnepropetrovsk, Ukraine

    V. F. Babenko & D. S. Skorokhodov

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  1. V. F. Babenko
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  2. D. S. Skorokhodov
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__________

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 10, pp. 1299–1312, October, 2007.

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Babenko, V.F., Skorokhodov, D.S. On Kolmogorov-type inequalities for functions defined on a semiaxis. Ukr Math J 59, 1453–1471 (2007). https://doi.org/10.1007/s11253-008-0001-3

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  • DOI: https://doi.org/10.1007/s11253-008-0001-3

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