IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n9135608.html

Further on Inequalities for (α, h − m)‐Convex Functions via k‐Fractional Integral Operators

Author

Listed:
  • Tao Yan
  • Ghulam Farid
  • Ayşe Kübra Demirel
  • Kamsing Nonlaopon

Abstract

The purpose of this article is to demonstrate new generalized k‐fractional Hadamard and Fejér–Hadamard integral inequalities for (α, h − m)‐convex functions. To prove these inequalities, k‐fractional integral operators including the generalization of the Mittag–Leffler function are used. The results presented in this article can be considered an important advancement of previously published inequalities.

Suggested Citation

  • Tao Yan & Ghulam Farid & Ayşe Kübra Demirel & Kamsing Nonlaopon, 2022. "Further on Inequalities for (α, h − m)‐Convex Functions via k‐Fractional Integral Operators," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:9135608
    DOI: 10.1155/2022/9135608
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/9135608
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/9135608?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. 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).
    2. Ahmet Ocak Akdemir & Saad Ihsan Butt & Muhammad Nadeem & Maria Alessandra Ragusa, 2021. "New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators," Mathematics, MDPI, vol. 9(2), pages 1-10, January.
    3. M. Yussouf & G. Farid & K. A. Khan & Chahn Yong Jung & Ahmet Ocak Akdemir, 2021. "Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-13, 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. Yu, Shuhong & Zhou, Yunxiu & Du, Tingsong, 2022. "Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Peng, Yu & Özcan, Serap & Du, Tingsong, 2024. "Symmetrical Hermite–Hadamard type inequalities stemming from multiplicative fractional integrals," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    3. Butt, Saad Ihsan & Khan, Dawood, 2025. "Superquadratic function and its applications in information theory via interval calculus," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    4. Saad Ihsan Butt & Josip Pečarić & Sanja Tipurić-Spužević, 2023. "Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces," Mathematics, MDPI, vol. 11(7), pages 1-19, April.
    5. Butt, Saad Ihsan & Khan, Ahmad, 2023. "New fractal–fractional parametric inequalities with applications," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    6. Muhammad Bilal Khan & Eze R. Nwaeze & Cheng-Chi Lee & Hatim Ghazi Zaini & Der-Chyuan Lou & Khalil Hadi Hakami, 2023. "Weighted Fractional Hermite–Hadamard Integral Inequalities for up and down Ԓ-Convex Fuzzy Mappings over Coordinates," Mathematics, MDPI, vol. 11(24), pages 1-27, December.
    7. Asfand Fahad & Ayesha & Yuanheng Wang & Saad Ihsaan Butt, 2023. "Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA- h -Convex Functions and Its Subclasses with Applications," Mathematics, MDPI, vol. 11(2), pages 1-21, January.
    8. Du, Tingsong & Yuan, Xiaoman, 2023. "On the parameterized fractal integral inequalities and related applications," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    9. Péter Kórus & Juan Eduardo Nápoles Valdés, 2025. "A Review of the Chebyshev Inequality Pertaining to Fractional Integrals," Mathematics, MDPI, vol. 13(7), pages 1-12, March.
    10. Khan, Dawood & Butt, Saad Ihsan, 2024. "Superquadraticity and its fractional perspective via center-radius cr-order relation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    11. Naveed Ahmed Malik & Ching-Lung Chang & Naveed Ishtiaq Chaudhary & Muhammad Asif Zahoor Raja & Khalid Mehmood Cheema & Chi-Min Shu & Sultan S. Alshamrani, 2022. "Knacks of Fractional Order Swarming Intelligence for Parameter Estimation of Harmonics in Electrical Systems," Mathematics, MDPI, vol. 10(9), pages 1-20, May.
    12. Meshari Alesemi & Naveed Iqbal & Thongchai Botmart, 2022. "Novel Analysis of the Fractional-Order System of Non-Linear Partial Differential Equations with the Exponential-Decay Kernel," Mathematics, MDPI, vol. 10(4), pages 1-17, February.
    13. Artion Kashuri & Muhammad Samraiz & Gauhar Rahman & Zareen A. Khan, 2022. "Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions," Mathematics, MDPI, vol. 10(5), pages 1-20, February.
    14. Sayyari, Yamin & Dehghanian, Mehdi, 2024. "A new class of convex functions and applications in entropy and analysis," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    15. Khaled Aldwoah & Ammara Nosheen & Faez A. Alqarni & Khuram Ali Khan & Masud Ahmad & Rostin M. Mabela, 2025. "Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

    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:2022:y:2022:i:1:n:9135608. 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.