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On the Jensen Functional and Strong Convexity

  • Flavia-Corina Mitroi-Symeonidis
  • Nicuşor Minculete
Article

Abstract

In this note we describe some results concerning upper and lower bounds for the Jensen functional. We use several known and new results to shed light on the concept of a strongly convex function.

Keywords

Jensen functional Strongly convex function 

Mathematics Subject Classification

Primary 26B25 Secondary 26D15 

Notes

Acknowledgments

The first author is grateful to Professors S. Abramovich and S.S. Dragomir for the interesting and productive mathematical discussions which have led to some of the questions this work is intended to answer.

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Copyright information

© Malaysian Mathematical Sciences Society and Universiti Sains Malaysia 2016

Authors and Affiliations

  • Flavia-Corina Mitroi-Symeonidis
    • 1
  • Nicuşor Minculete
    • 2
  1. 1.Faculty of Engineering SciencesLUMINA - University of South-East EuropeBucharestRomania
  2. 2.Department of Mathematics and Computer ScienceTransilvania UniversityBraşovRomania

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