Mediterranean Journal of Mathematics

, Volume 13, Issue 5, pp 3121–3133 | Cite as

New Extensions of Popoviciu’s Inequality

  • Marcela V. Mihai
  • Flavia-Corina Mitroi-SymeonidisEmail author


Popoviciu’s inequality is extended to the framework of h-convexity and also to convexity with respect to a pair of quasi-arithmetic means. Several applications are included.


Popoviciu’s inequality convex function Quasi-arithmetic mean 

Mathematics Subject Classification

Primary 26A51 Secondary 54C60 39B62 


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Copyright information

© Springer International Publishing 2015

Authors and Affiliations

  • Marcela V. Mihai
    • 1
  • Flavia-Corina Mitroi-Symeonidis
    • 2
    Email author
  1. 1.Romanian Mathematical SocietyBucharestRomania
  2. 2.Faculty of Engineering SciencesUniversity of South-East Europe - LUMINABucharestRomania

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