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On the Jensen Functional and Strong Convexity

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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.

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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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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. Department of Mathematics and Computer Science, Transilvania University, Street Iuliu Maniu 50, Braşov, 500091, Romania

    Nicuşor Minculete

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

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Communicated by V. Ravichandran.

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Mitroi-Symeonidis, FC., Minculete, N. On the Jensen Functional and Strong Convexity. Bull. Malays. Math. Sci. Soc. 41, 311–319 (2018). https://doi.org/10.1007/s40840-015-0293-z

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  • DOI: https://doi.org/10.1007/s40840-015-0293-z

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