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Some Quantum Integral Inequalities for ( p , h )-Convex Functions

Author

Listed:
  • Jirawat Kantalo

    (Department of Mathematics and Statistics, Faculty of Science and Technology, Sakon Nakhon Rajabhat University, Sakon Nakhon 47000, Thailand)

  • 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)

  • Hüseyin Budak

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

Abstract

In this paper, we derive an identity of the q -definite integral of a continuous function f on a finite interval. We then use such identity to prove some new quantum integral inequalities for ( p , h ) -convex function. The results obtained in this paper generalize previous work in the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1072-:d:1075305
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    References listed on IDEAS

    as
    1. 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.
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