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On A. N. Kolmogorov's inequalities relating the upper bounds of derivatives of real functions defined on the whole axis

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. V. K. Dzyadyk and V. A. Dubovik, “On A. N. Kolmogorov's problem concerning relations among the upper bounds of derivatives of real functions defined on the whole axis,” Ukrainsk. Matem. Zh.,26, No. 3 (1974).

  2. A. M. Rodov, “Relations among the upper bounds of derivatives of functions of a real variable,” Izv. Akad. Nauk SSSR, Ser. Matem.,10, No. 2 (1946).

  3. A. N. Kolmogorov, “On inequalities among the upper bounds of consecutive derivatives of an arbitrary function on an infinite interval,” Uch. Zap. MGU, Ser. Matem.,30 (1939).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Ukraine

    V. K. Dzyadyk & V. A. Dubovik

  2. Kiev Technological Institute of the Food Industry, USSR

    V. K. Dzyadyk & V. A. Dubovik

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  1. V. K. Dzyadyk
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  2. V. A. Dubovik
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 3, pp. 291–299, May–June, 1975.

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Dzyadyk, V.K., Dubovik, V.A. On A. N. Kolmogorov's inequalities relating the upper bounds of derivatives of real functions defined on the whole axis. Ukr Math J 27, 233–240 (1975). https://doi.org/10.1007/BF01092079

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  • DOI: https://doi.org/10.1007/BF01092079

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