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Jensen-Mercer inequality for uniformly convex functions with some applications

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Abstract

In this study, the Jensen-Mercer inequality for a uniformly convex function is established. There are also certain application-related inequalities that are presented.

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Acknowledgements

The authors of this paper wish to thank the anonymous referee for their useful comments towards the improvements of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Sirjan University of Technology, Sirjan, Iran

    Yamin Sayyari

  2. Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box 78671-61167, Jiroft, Iran

    Hasan Barsam

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  1. Yamin Sayyari
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  2. Hasan Barsam
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Correspondence to Yamin Sayyari.

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Sayyari, Y., Barsam, H. Jensen-Mercer inequality for uniformly convex functions with some applications. Afr. Mat. 34, 38 (2023). https://doi.org/10.1007/s13370-023-01084-2

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