Aequationes mathematicae

, Volume 90, Issue 4, pp 705–718

On the Jensen functional and superquadraticity

  • Flavia-Corina Mitroi-Symeonidis
  • Nicuşor Minculete
Article

DOI: 10.1007/s00010-015-0389-4

Cite this article as:
Mitroi-Symeonidis, FC. & Minculete, N. Aequat. Math. (2016) 90: 705. doi:10.1007/s00010-015-0389-4

Abstract

In this note we give a recipe which describes upper and lower bounds for the Jensen functional under superquadraticity conditions. Some results involve the Chebychev functional. We give a more general definition of these functionals and establish analogous results.

Keywords

Jensen functional Chebychev functional superquadratic function 

Mathematics Subject Classification

Primary 26B25 Secondary 26D15 

Copyright information

© Springer Basel 2015

Authors and Affiliations

  • Flavia-Corina Mitroi-Symeonidis
    • 1
  • Nicuşor Minculete
    • 2
  1. 1.Faculty of Engineering SciencesLUMINA - University of South-East EuropeBucharestRomania
  2. 2.Transilvania University of BraşovBrasovRomania

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