IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i5p467-d234125.html
   My bibliography  Save this article

Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals

Author

Listed:
  • Sikander Mehmood

    (Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan)

  • Fiza Zafar

    (Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan)

  • Nusrat Yasmin

    (Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan)

Abstract

In this paper, we have established the Hermite–Hadamard–Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates of the left and right hand side of the Hermite–Hadamard inequalities for fractional integrals involving preinvex functions doesn’t exist previously.

Suggested Citation

  • Sikander Mehmood & Fiza Zafar & Nusrat Yasmin, 2019. "Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals," Mathematics, MDPI, vol. 7(5), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:467-:d:234125
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/5/467/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/5/467/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. M. Rostamian Delavar & S. Mohammadi Aslani & M. De La Sen, 2018. "Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals," Journal of Mathematics, Hindawi, vol. 2018, pages 1-10, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Surang Sitho & Muhammad Aamir Ali & Hüseyin Budak & Sotiris K. Ntouyas & Jessada Tariboon, 2021. "Trapezoid and Midpoint Type Inequalities for Preinvex Functions via Quantum Calculus," Mathematics, MDPI, vol. 9(14), pages 1-21, July.
    2. Humaira Kalsoom & Zareen A. Khan, 2022. "Hermite-Hadamard-Fejér Type Inequalities with Generalized K -Fractional Conformable Integrals and Their Applications," Mathematics, MDPI, vol. 10(3), pages 1-20, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:467-:d:234125. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.