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Some New Quantum Hermite–Hadamard-Like Inequalities for Coordinated Convex Functions

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Abstract

In this paper, we give some new definitions for quantum integrals of two-variable functions. We establish quantum Hermite–Hadamard-type inequalities for coordinated convex functions via newly defined quantum integrals.

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China (No.11971241).

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Authors and Affiliations

  1. Düzce University, Düzce, Turkey

    Hüseyin Budak & Meliha Tarhanaci

  2. School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, Nanjing, 210023, China

    Muhammad Aamir Ali

Authors
  1. Hüseyin Budak
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  2. Muhammad Aamir Ali
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  3. Meliha Tarhanaci
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Corresponding author

Correspondence to Muhammad Aamir Ali.

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Communicated by Sándor Zóltan Németh.

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Budak, H., Ali, M.A. & Tarhanaci, M. Some New Quantum Hermite–Hadamard-Like Inequalities for Coordinated Convex Functions. J Optim Theory Appl 186, 899–910 (2020). https://doi.org/10.1007/s10957-020-01726-6

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  • DOI: https://doi.org/10.1007/s10957-020-01726-6

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