IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i19p3491-d924219.html
   My bibliography  Save this article

Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting

Author

Listed:
  • Vuk Stojiljković

    (Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia
    These authors contributed equally to this work.)

  • Rajagopalan Ramaswamy

    (Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz Univeristy, Al-Kharj 16278, Saudi Arabia
    These authors contributed equally to this work.)

  • Ola A. Ashour Abdelnaby

    (Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz Univeristy, Al-Kharj 16278, Saudi Arabia
    These authors contributed equally to this work.)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia)

Abstract

In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined p interval-valued convexity is utilized to obtain many new fractional Hermite–Hadamard type convex inequalities. The derived results have been supplemented with suitable numerical examples. Our results generalize some recently reported results in the literature.

Suggested Citation

  • Vuk Stojiljković & Rajagopalan Ramaswamy & Ola A. Ashour Abdelnaby & Stojan Radenović, 2022. "Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting," Mathematics, MDPI, vol. 10(19), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3491-:d:924219
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/19/3491/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/19/3491/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pimchana Siricharuanun & Samet Erden & Muhammad Aamir Ali & Hüseyin Budak & Saowaluck Chasreechai & Thanin Sitthiwirattham, 2021. "Some New Simpson’s and Newton’s Formulas Type Inequalities for Convex Functions in Quantum Calculus," Mathematics, MDPI, vol. 9(16), pages 1-18, August.
    2. Xuexiao You & Muhammad Aamir Ali & Hüseyin Budak & Jiraporn Reunsumrit & Thanin Sitthiwirattham, 2021. "Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings," Mathematics, MDPI, vol. 9(20), pages 1-11, October.
    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. Muhammad Bilal Khan & Hakeem A. Othman & Michael Gr. Voskoglou & Lazim Abdullah & Alia M. Alzubaidi, 2023. "Some Certain Fuzzy Aumann Integral Inequalities for Generalized Convexity via Fuzzy Number Valued Mappings," Mathematics, MDPI, vol. 11(3), pages 1-23, January.
    2. Tareq Saeed & Waqar Afzal & Mujahid Abbas & Savin Treanţă & Manuel De la Sen, 2022. "Some New Generalizations of Integral Inequalities for Harmonical cr -( h 1 , h 2 )-Godunova–Levin Functions and Applications," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    3. Malik, Muhammad Faizan & Chang, Ching-Lung & Chaudhary, Naveed Ishtiaq & Khan, Zeshan Aslam & Kiani, Adiqa kausar & Shu, Chi-Min & Raja, Muhammad Asif Zahoor, 2023. "Swarming intelligence heuristics for fractional nonlinear autoregressive exogenous noise systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Tareq Saeed & Waqar Afzal & Khurram Shabbir & Savin Treanţă & Manuel De la Sen, 2022. "Some Novel Estimates of Hermite–Hadamard and Jensen Type Inequalities for ( h 1 , h 2 )-Convex Functions Pertaining to Total Order Relation," Mathematics, MDPI, vol. 10(24), pages 1-17, December.

    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.
    1. Fongchan Wannalookkhee & Kamsing Nonlaopon & Sotiris K. Ntouyas & Mehmet Zeki Sarikaya & Hüseyin Budak, 2022. "Some New Post-Quantum Simpson’s Type Inequalities for Coordinated Convex Functions," Mathematics, MDPI, vol. 10(6), pages 1-26, March.

    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:10:y:2022:i:19:p:3491-:d:924219. 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.