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A Simple Proof of the Jensen-Type Inequality of Fink and Jodeit

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Abstract

We discuss the extension of Jensen’s inequality to the framework of quasiconvex functions. Moreover, it is proved that our results work for a class of signed measures larger than the class of probability measures.

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Authors and Affiliations

  1. Department of Mathematics, University of Craiova, 200585, Craiova, Romania

    Marcela V. Mihai & Constantin P. Niculescu

Authors
  1. Marcela V. Mihai
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  2. Constantin P. Niculescu
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Corresponding author

Correspondence to Constantin P. Niculescu.

Additional information

Dedicated to Tudor Zamfirescu on the occasion of his 70th birthday.

The second author was supported by a grant of the Romanian National Authority for Scientific Research, CNCS–UEFISCDI, Project Number PN-II-ID-PCE-2011-3-0257.

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Mihai, M.V., Niculescu, C.P. A Simple Proof of the Jensen-Type Inequality of Fink and Jodeit. Mediterr. J. Math. 13, 119–126 (2016). https://doi.org/10.1007/s00009-014-0480-4

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  • DOI: https://doi.org/10.1007/s00009-014-0480-4

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