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On additive inequalities for intermediate derivatives of functions given on a finite interval

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Abstract

We present a general scheme for deducing additive inequalities of Landau-Hadamard type. As a consequence, we prove several new inequalities for the norms of intermediate derivatives of functions given on a finite interval with an exact constant with the norm of a function.

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Authors
  1. V. F. Babenko
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  2. V. A. Kofanov
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  3. S. A. Pichugov
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Additional information

Dnepropetrovsk University, Dnepropetrovsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 5, pp. 619–628, May, 1997.

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Babenko, V.F., Kofanov, V.A. & Pichugov, S.A. On additive inequalities for intermediate derivatives of functions given on a finite interval. Ukr Math J 49, 685–696 (1997). https://doi.org/10.1007/BF02486450

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  • DOI: https://doi.org/10.1007/BF02486450

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