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Harmonic Hermite–Hadamard Inequalities Involving Mittag-Leffler Function

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Approximation Theory and Analytic Inequalities

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Abstract

The main objective of this paper is to establish some new refinements of Hermite–Hadamard like inequalities via harmonic convex functions on the co-ordinates with a kernel involving generalized Mittag-Leffler function. Several special cases are also discussed as applications of our main results. The techniques of this paper may be starting point for further research in this dynamic field.

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Acknowledgements

Authors would like to express their gratitude to Prof. Dr. Themistocles M. Rassias for his kind invitation and support. This research is supported by HEC NRPU project No: 8081/Punjab/NRPU/R&D/HEC/2017.

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Authors and Affiliations

  1. Government College University, Faisalabad, Pakistan

    Muhammad Uzair Awan

  2. Department Scientific-Methodical Sessions, Romanian Mathematical Society-Branch Bucharest, Bucharest, Romania

    Marcela V. Mihai

  3. COMSATS University Islamabad, Islamabad, Pakistan

    Khalida Inayat Noor & Muhammad Aslam Noor

Authors
  1. Muhammad Uzair Awan
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  2. Marcela V. Mihai
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  3. Khalida Inayat Noor
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  4. Muhammad Aslam Noor
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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Awan, M.U., Mihai, M.V., Noor, K.I., Noor, M.A. (2021). Harmonic Hermite–Hadamard Inequalities Involving Mittag-Leffler Function. In: Rassias, T.M. (eds) Approximation Theory and Analytic Inequalities . Springer, Cham. https://doi.org/10.1007/978-3-030-60622-0_1

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