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Link to original content: https://doi.org/10.1007/s10957-020-01726-6
Some New Quantum Hermite–Hadamard-Like Inequalities for Coordinated Convex Functions | Journal of Optimization Theory and Applications Skip to main content
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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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References

  1. Dragomir, S.S., Pearce, C.E.M.: Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs. Victoria University, Footscray (2000)

    Google Scholar 

  2. Pečarić, J.E., Proschan, F., Tong, Y.L.: Convex Functions, Partial Orderings and Statistical Applications. Academic Press, Boston (1992)

    MATH  Google Scholar 

  3. Alp, N., Sarikaya, M.Z., Kunt, M., İşcan, İ.: \(q\)-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions. J. King Saud Univ. Sci. 30, 193–203 (2018)

    Article  Google Scholar 

  4. Alp, N., Sarikaya, M.Z.: Hermite Hadamard’s type inequalities for co-ordinated convex functions on quantum integral. Preprint, https://www.researchgate.net/publication/329814922 (2019)

  5. Bermudo, S., Kórus, P., Valdés, J.N.: On \(q\)-Hermite–Hadamard inequalities for general convex functions. Acta Math. Hungar. https://doi.org/10.1007/s10474-020-01025-6 (2020)

  6. Latif, M.A., Dragomir, S.S., Momoniat, E.: Some \(q\) -analogues of Hermite–Hadamard inequality of functions of two variables on finite rectangles in the plane. J. King Saud Univ. Sci. 29, 263–273 (2017)

    Article  Google Scholar 

  7. Dragomir, S.S.: On the Hadamard’s inequality for functions on the co-ordinates in a rectangle from the plane. Taiwan. J. Math. 4, 775–788 (2001)

    Article  MathSciNet  Google Scholar 

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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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