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On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions

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Abstract

We obtain nonperiodic analogs of the known inequalities that estimateL p -norms of intermediate derivatives of a periodic function in terms of itsL ∞-norms and higher derivative.

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    V. F. Babenko & S. A. Selivanova

Authors
  1. V. F. Babenko
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  2. S. A. Selivanova
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 2, pp. 147–157, February, 1999.

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Babenko, V.F., Selivanova, S.A. On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions. Ukr Math J 51, 161–171 (1999). https://doi.org/10.1007/BF02513470

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  • DOI: https://doi.org/10.1007/BF02513470

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