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On the Jensen functional and superquadraticity

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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.

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Authors and Affiliations

  1. Faculty of Engineering Sciences, LUMINA - University of South-East Europe, Şos. Colentina 64b, Sector 2, 021187, Bucharest, Romania

    Flavia-Corina Mitroi-Symeonidis

  2. Transilvania University of Braşov, Iuliu Maniu Street, No. 50, 500091, Brasov, Romania

    Nicuşor Minculete

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  1. Flavia-Corina Mitroi-Symeonidis
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  2. Nicuşor Minculete
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Correspondence to Nicuşor Minculete.

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Mitroi-Symeonidis, FC., Minculete, N. On the Jensen functional and superquadraticity. Aequat. Math. 90, 705–718 (2016). https://doi.org/10.1007/s00010-015-0389-4

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  • DOI: https://doi.org/10.1007/s00010-015-0389-4

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