Ukrainian Mathematical Journal

, Volume 57, Issue 2, pp 186–199 | Cite as

Estimate for a Rearrangement of a Function Satisfying the “Reverse Jensen Inequality”

  • A. A. Korenovskii


We show that an equimeasurable rearrangement of any function satisfying the “reverse Jensen inequality” with respect to various multidimensional segments also satisfies the “reverse Jensen inequality” with the same constant.


Jensen Inequality Equimeasurable Rearrangement Reverse Jensen Inequality 
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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • A. A. Korenovskii
    • 1
  1. 1.Institute of Mathematics, Economics, and MechanicsOdessa National UniversityOdessaUkraine

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