Ukrainian Mathematical Journal

, Volume 68, Issue 12, pp 1860–1873 | Cite as

Numerical Interpretation of The Gurov–Reshetnyak Inequality on The Real Axis

  • V. D. Didenko
  • A. A. Korenovskii
  • N. J. Tuah

We find the “norm” of a power function in the Gurov–Reshetnyak class on the real line. Moreover, as a result of numerical experiments, we establish a lower bound for the norm of the operator of even extension of a function from the Gurov–Reshetnyak class from the semiaxis onto the entire real line.


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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • V. D. Didenko
    • 1
  • A. A. Korenovskii
    • 2
  • N. J. Tuah
    • 3
  1. 1.Odessa State Academy of Technical Regulation and QualityOdessaUkraine
  2. 2.Mechnikov Odessa National UniversityOdessaUkraine
  3. 3.Universiti Brunei DarussalamBegawanBrunei

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