IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2025y2025i1n9536854.html

Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals

Author

Listed:
  • Xiaohong Zuo
  • Wengui Yang

Abstract

In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results in the literature. Finally, some special forms of the obtained results are also given.

Suggested Citation

  • Xiaohong Zuo & Wengui Yang, 2025. "Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:9536854
    DOI: 10.1155/jom/9536854
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/jom/9536854
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jom/9536854?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Gauhar Rahman & Kottakkaran Sooppy Nisar & Thabet Abdeljawad, 2020. "Certain Hadamard Proportional Fractional Integral Inequalities," Mathematics, MDPI, vol. 8(4), pages 1-14, April.
    2. Waewta Luangboon & Kamsing Nonlaopon & Jessada Tariboon & Sotiris K. Ntouyas & Hüseyin Budak, 2022. "Some ( p , q )-Integral Inequalities of Hermite–Hadamard Inequalities for ( p , q )-Differentiable Convex Functions," Mathematics, MDPI, vol. 10(5), pages 1-20, March.
    3. Lu-Lu Geng & Xiao-Jun Yang, 2023. "Novel Chebyshev-Type Inequalities For The General Fractional-Order Integrals With The Rabotnov Fractional Exponential Kernel," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-9.
    4. Gauhar Rahman & Kottakkaran Sooppy Nisar & Thabet Abdeljawad & Samee Ullah, 2020. "Certain Fractional Proportional Integral Inequalities via Convex Functions," Mathematics, MDPI, vol. 8(2), pages 1-11, February.
    5. Jessada Tariboon & Sotiris K. Ntouyas & Weerawat Sudsutad, 2014. "Some New Riemann-Liouville Fractional Integral Inequalities," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-6, March.
    Full references (including those not matched with items on IDEAS)

    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. Abdellatif Ben Makhlouf & Lassaad Mchiri & Hakeem A. Othman & Hafedh M. S. Rguigui & Salah Boulaaras, 2023. "Proportional Itô–Doob Stochastic Fractional Order Systems," Mathematics, MDPI, vol. 11(9), pages 1-14, April.
    2. Sotiris K. Ntouyas & Sunil D. Purohit & Jessada Tariboon, 2014. "Certain Chebyshev Type Integral Inequalities Involving Hadamard’s Fractional Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Abha Singh & Abdul Hamid Ganie & Mashael M. Albaidani, 2021. "Some New Inequalities Using Nonintegral Notion of Variables," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    4. Saima Rashid & Fahd Jarad & Muhammad Aslam Noor & Humaira Kalsoom & Yu-Ming Chu, 2019. "Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function," Mathematics, MDPI, vol. 7(12), pages 1-18, December.
    5. Set, Erhan & Butt, Saad Ihsan & Akdemir, Ahmet Ocak & Karaoǧlan, Ali & Abdeljawad, Thabet, 2021. "New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    6. Wei Liu & Fangfang Shi & Guoju Ye & Dafang Zhao, 2022. "The Properties of Harmonically cr - h -Convex Function and Its Applications," Mathematics, MDPI, vol. 10(12), pages 1-15, June.
    7. Aydin Secer & S. D. Purohit & K. A. Selvakumaran & Mustafa Bayram, 2014. "A Generalized q‐Grüss Inequality Involving the Riemann‐Liouville Fractional q‐Integrals," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    8. Set, Erhan & Akdemi̇r, Ahmet Ocak & Karaoğlan, Ali̇, 2024. "New integral inequalities for synchronous functions via Atangana–Baleanu fractional integral operators," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    9. Weerawat Sudsutad & Sotiris K. Ntouyas & Jessada Tariboon, 2014. "Fractional Integral Inequalities via Hadamard’s Fractional Integral," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    10. Butt, Saad Ihsan & Yousaf, Saba & Akdemir, Ahmet Ocak & Dokuyucu, Mustafa Ali, 2021. "New Hadamard-type integral inequalities via a general form of fractional integral operators," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    11. Osama Moaaz & Ahmed E. Abouelregal & Meshari Alesemi, 2022. "Moore–Gibson–Thompson Photothermal Model with a Proportional Caputo Fractional Derivative for a Rotating Magneto-Thermoelastic Semiconducting Material," Mathematics, MDPI, vol. 10(17), pages 1-21, August.
    12. Weerawat Sudsutad & Nantapat Jarasthitikulchai & Chatthai Thaiprayoon & Jutarat Kongson & Jehad Alzabut, 2022. "Novel Generalized Proportional Fractional Integral Inequalities on Probabilistic Random Variables and Their Applications," Mathematics, MDPI, vol. 10(4), pages 1-21, February.

    More about this item

    Statistics

    Access and download statistics

    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:wly:jjmath:v:2025:y:2025:i:1:n:9536854. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    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.