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Ukrainian Mathematical Journal

, Volume 26, Issue 3, pp 246–259 | Cite as

A contribution to kolmogorov problem of relationships among upper bounds of derivatives of real functions given on entire axis

  • V. K. Dzyadyk
  • V. A. Dubovik
Article

Keywords

Real Function Entire Axis Kolmogorov Problem 
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Literature cited

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    A. M. Rodov, “Relationships among upper bounds of derivatives of functions of real variables,” Izv. Akad. Nauk SSSR, Ser. Matem.,10, No. 2 (1946).Google Scholar
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    J. Hadmard, “Sur le Module Maximum d'une Fonction et de ses Derivees,” C. R. Seanses Soc. Math., Fr.,42 (1914).Google Scholar
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    G. E. Shilov, “On inequalities among derivatives,” Coll. of Students' Works, Moscow State Univ. [in Russian], Vol. 1 (1937).Google Scholar
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    A. N. Kolmogorov, “On inequalities among upper bounds of successive derivatives of an arbitrary function of infinite interval,” Uch. Zap. MGU, Ser. Mat., No, 30 (1939).Google Scholar
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    A. M. Rodov, “Sufficient conditions of existence of a function of real variable with given upper bounds of modulus of the function itself and its five successive derivatives,” Uch. Zap. Belorussi. Gos. Univ., No. 19 (1954).Google Scholar
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    N. E. Nörlund, Differenzenrechnung, Berlin (1924).Google Scholar
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    G. M. Fikhtengol'ts, A Course of Differential and Integral Calculus [in Russian], Vol. 3, Nauka, Moscow (1961).Google Scholar
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    A. O. Helfond, Finite Difference Calculus [Russian translation], Nauka, Moscow (1961).Google Scholar
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    E. Titchmarsh, Riemann Zeta Functions [Russian translation], IL, Moscow (1947).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • V. K. Dzyadyk
    • 1
    • 2
  • V. A. Dubovik
    • 1
    • 2
  1. 1.Institute of Mathematics of the Academy of Sciences of the Ukrainian SSRUSSR
  2. 2.Kiev Technological Institute of Food IndustryUSSR

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