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Some New Post-Quantum Simpson’s Type Inequalities for Coordinated 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)

Abstract

In this paper, we establish some new Simpson’s type inequalities for coordinated convex functions by using post-quantum calculus. The results raised in this paper provide significant extensions and generalizations of other related results given in earlier works.

Suggested Citation

  • Fongchan Wannalookkhee & Kamsing Nonlaopon & Sotiris K. Ntouyas & Mehmet Zeki Sarikaya & Hüseyin Budak, 2022. "Some New Post-Quantum Simpson’s Type Inequalities for Coordinated Convex Functions," Mathematics, MDPI, vol. 10(6), pages 1-26, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:872-:d:767468
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    References listed on IDEAS

    as
    1. Pimchana Siricharuanun & Samet Erden & Muhammad Aamir Ali & Hüseyin Budak & Saowaluck Chasreechai & Thanin Sitthiwirattham, 2021. "Some New Simpson’s and Newton’s Formulas Type Inequalities for Convex Functions in Quantum Calculus," Mathematics, MDPI, vol. 9(16), pages 1-18, August.
    2. Fongchan Wannalookkhee & Kamsing Nonlaopon & Jessada Tariboon & Sotiris K. Ntouyas, 2021. "On Hermite-Hadamard Type Inequalities for Coordinated Convex Functions via ( p , q )-Calculus," Mathematics, MDPI, vol. 9(7), pages 1-19, March.
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