Generalizations of the Jensen-Steffensen and related inequalities

  • Milica Klaričić Bakula
  • Marko Matić
  • Josip Pečarić
Research Article


We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.


Convex functions Jensen-Steffensen inequality Slater’s inequality 




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Copyright information

© © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Milica Klaričić Bakula
    • 1
  • Marko Matić
    • 1
  • Josip Pečarić
    • 2
  1. 1.Faculty of Science, Department of MathematicsUniversity of SplitSplitCroatia
  2. 2.Faculty of Textile TechnologyUniversity of ZagrebZagrebCroatia

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