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Inequalities of the Hadamard-Kolmogorov type in the presence of constraints

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Literature cited

  1. J. Hadamard, “Sur le module maximum d'une fonction et de ses dérivées,” C. R. Séances Soc. Math. France, 42, 68 (1914).

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  2. A. N. Kolmogorov, “On inequalities between the upper bounds on successive derivatives of an arbitrary function on an infinite interval,” Uchenye Zapiski Mosk. Un-ta, Matem.,30, 3–16 (1939).

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  3. B. I. Korenblyum, “Bounds of the entire-function type and an optimal control problem,” Dokl. Akad. Nauk SSSR,170, No. 2, 286–289 (1966).

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  4. S. Mandel'broit, Adherent Series, Sequence Regularization, Applications [in Russian], Moscow (1955).

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Authors and Affiliations

  1. Kiev Institute of Civil Engineering, USSR

    V. A. Dubovik & B. I. Korenblyum

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  1. V. A. Dubovik
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  2. B. I. Korenblyum
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Translated from Matematicheskie Zametki, Vol. 5, No. 1, pp. 13–20, January, 1969.

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Dubovik, V.A., Korenblyum, B.I. Inequalities of the Hadamard-Kolmogorov type in the presence of constraints. Mathematical Notes of the Academy of Sciences of the USSR 5, 10–14 (1969). https://doi.org/10.1007/BF01098708

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  • DOI: https://doi.org/10.1007/BF01098708

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