Aequationes mathematicae

, Volume 82, Issue 3, pp 233–246 | Cite as

Converse Jensen–Steffensen inequality

  • S. Ivelić
  • M. Klaričić Bakula
  • J. Pečarić


In this paper we prove a converse to the Jensen–Steffensen inequality. We also present two inequalities complementary to the Jensen–Steffensen inequality. The equality case conditions are thoroughly investigated.

Mathematics Subject Classification (2000)



Jensen–Steffensen inequality Jensen–Mercer inequality Jensen’s inequality 


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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  • S. Ivelić
    • 1
  • M. Klaričić Bakula
    • 2
  • J. Pečarić
    • 3
  1. 1.Faculty of Civil Engineering and ArchitectureUniversity of SplitSplitCroatia
  2. 2.Department of Mathematics, Faculty of ScienceUniversity of SplitSplitCroatia
  3. 3.Faculty of Textile TechnologyUniversity of ZagrebZagrebCroatia

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