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Quantum Integral Inequalities of Simpson-Type for Strongly Preinvex Functions

Author

Listed:
  • Yongping Deng

    (Department of Mathematics, Longyan University, Longyan 364012, China)

  • Muhammad Uzair Awan

    (Department of Mathematics, Government College University, Faisalabad 38000, Pakistan)

  • Shanhe Wu

    (Department of Mathematics, Longyan University, Longyan 364012, China)

Abstract

In this paper, we establish a new q -integral identity, the result is then used to derive two q -integral inequalities of Simpson-type involving strongly preinvex functions. Some special cases of the obtained results are also considered, it is shown that several new and previously known results can be derived via generalized strongly preinvex functions and quantum integrals.

Suggested Citation

  • Yongping Deng & Muhammad Uzair Awan & Shanhe Wu, 2019. "Quantum Integral Inequalities of Simpson-Type for Strongly Preinvex Functions," Mathematics, MDPI, vol. 7(8), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:751-:d:258354
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    References listed on IDEAS

    as
    1. Noor, Muhammad Aslam & Noor, Khalida Inayat & Awan, Muhammad Uzair, 2015. "Some quantum integral inequalities via preinvex functions," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 242-251.
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    Cited by:

    1. Waewta Luangboon & Kamsing Nonlaopon & Jessada Tariboon & Sotiris K. Ntouyas, 2021. "Simpson- and Newton-Type Inequalities for Convex Functions via ( p , q )-Calculus," Mathematics, MDPI, vol. 9(12), pages 1-21, June.

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