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Some New Quantum Hermite–Hadamard Inequalities for Co-Ordinated Convex Functions

Author

Listed:
  • Fongchan Wannalookkhee

    (Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand)

  • Kamsing Nonlaopon

    (Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand)

  • Sotiris K. Ntouyas

    (Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
    Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Mehmet Zeki Sarikaya

    (Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey)

  • Hüseyin Budak

    (Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey)

  • Muhammad Aamir Ali

    (Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China)

Abstract

In this paper, we establish some new versions of Hermite–Hadamard type inequalities for co-ordinated convex functions via q 1 , q 2 -integrals. Since the inequalities are newly proved, we therefore consider some examples of co-ordinated convex functions and show their validity for particular choices of q 1 , q 2 ∈ ( 0 , 1 ) . We hope that the readers show their interest in these results.

Suggested Citation

  • Fongchan Wannalookkhee & Kamsing Nonlaopon & Sotiris K. Ntouyas & Mehmet Zeki Sarikaya & Hüseyin Budak & Muhammad Aamir Ali, 2022. "Some New Quantum Hermite–Hadamard Inequalities for Co-Ordinated Convex Functions," Mathematics, MDPI, vol. 10(12), pages 1-20, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:1962-:d:833199
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    Cited by:

    1. Jirawat Kantalo & Fongchan Wannalookkhee & Kamsing Nonlaopon & Hüseyin Budak, 2023. "Some Quantum Integral Inequalities for ( p , h )-Convex Functions," Mathematics, MDPI, vol. 11(5), pages 1-14, February.

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