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Qi Type Diamond-Alpha Integral Inequalities

Author

Listed:
  • Zhong-Xuan Mao

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

  • Ya-Ru Zhu

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

  • Bao-Hua Guo

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

  • Fu-Hai Wang

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

  • Yu-Hua Yang

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

  • Hai-Qing Zhao

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

Abstract

In this paper, we establish sufficient conditions for Qi type diamond-alpha integral inequalities and its generalized form on time scales.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:449-:d:504375
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    References listed on IDEAS

    as
    1. Tie-Hong Zhao & Yu-Ming Chu & Hua Wang, 2011. "Logarithmically Complete Monotonicity Properties Relating to the Gamma Function," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-13, July.
    2. Matloob Anwar & Rabia Bibi & Martin Bohner & Josip Pečarić, 2011. "Integral Inequalities on Time Scales via the Theory of Isotonic Linear Functionals," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-16, July.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Zhong-Xuan Mao & Ya-Ru Zhu & Jun-Ping Hou & Chun-Ping Ma & Shi-Pu Liu, 2021. "Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications," Mathematics, MDPI, vol. 9(10), pages 1-20, May.

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