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New Extensions of Popoviciu’s Inequality

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Abstract

Popoviciu’s inequality is extended to the framework of h-convexity and also to convexity with respect to a pair of quasi-arithmetic means. Several applications are included.

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Authors and Affiliations

  1. Romanian Mathematical Society, Academy Street No. 14, 010014, Bucharest, Romania

    Marcela V. Mihai

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

    Flavia-Corina Mitroi-Symeonidis

Authors
  1. Marcela V. Mihai
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  2. Flavia-Corina Mitroi-Symeonidis
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Correspondence to Flavia-Corina Mitroi-Symeonidis.

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Dedicated to the memory of T. Popoviciu.

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Mihai, M.V., Mitroi-Symeonidis, FC. New Extensions of Popoviciu’s Inequality. Mediterr. J. Math. 13, 3121–3133 (2016). https://doi.org/10.1007/s00009-015-0675-3

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  • DOI: https://doi.org/10.1007/s00009-015-0675-3

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