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Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale

Author

Listed:
  • Saima Rashid

    (Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
    Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan)

  • Muhammad Aslam Noor

    (Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan)

  • Khalida Inayat Noor

    (Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan)

  • Farhat Safdar

    (Department of Mathematics, SBK University, Quetta 87300, Pakistan)

  • Yu-Ming Chu

    (Department of Mathematics, Huzhou University, Huzhou 313000, China)

Abstract

We investigate a time scale version of two auxiliary functions for the class of convex functions. We derive several novel dynamic inequalities for these classes of convex functions. Applications of these consequences are taken into consideration in special means. Furthermore, illustrative examples are introduced to help our outcomes. Meanwhile, we communicate a few particular cases which may be deduced from our main outcomes.

Suggested Citation

  • Saima Rashid & Muhammad Aslam Noor & Khalida Inayat Noor & Farhat Safdar & Yu-Ming Chu, 2019. "Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale," Mathematics, MDPI, vol. 7(10), pages 1-20, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:956-:d:275848
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    References listed on IDEAS

    as
    1. Saima Rashid & Thabet Abdeljawad & Fahd Jarad & Muhammad Aslam Noor, 2019. "Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications," Mathematics, MDPI, vol. 7(9), pages 1-18, September.
    2. Humaira Kalsoom & Muhammad Amer & Moin-ud-Din Junjua & Sabir Hussain & Gullnaz Shahzadi, 2019. "Some ( p , q )-Estimates of Hermite-Hadamard-Type Inequalities for Coordinated Convex and Quasi- Convex Functions," Mathematics, MDPI, vol. 7(8), pages 1-22, July.
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    Cited by:

    1. Zhong-Xuan Mao & Ya-Ru Zhu & Bao-Hua Guo & Fu-Hai Wang & Yu-Hua Yang & Hai-Qing Zhao, 2021. "Qi Type Diamond-Alpha Integral Inequalities," Mathematics, MDPI, vol. 9(4), pages 1-24, February.

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