IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n249091.html

Certain Chebyshev Type Integral Inequalities Involving Hadamard’s Fractional Operators

Author

Listed:
  • Sotiris K. Ntouyas
  • Sunil D. Purohit
  • Jessada Tariboon

Abstract

We establish certain new fractional integral inequalities for the differentiable functions whose derivatives belong to the space Lp([1, ∞)), related to the weighted version of the Chebyshev functional, involving Hadamard’s fractional integral operators. As an application, particular results have been also established.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:249091
    DOI: 10.1155/2014/249091
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/249091
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/249091?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. Mehmet Zeki Sarikaya & Hasan Ogunmez, 2012. "On New Inequalities via Riemann‐Liouville Fractional Integration," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Sotiris K. Ntouyas & Sunil D. Purohit & Jessada Tariboon, 2014. "Certain Chebyshev Type Integral Inequalities Involving Hadamard’s Fractional Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, May.
    3. Mehmet Zeki Sarikaya & Hasan Ogunmez, 2012. "On New Inequalities via Riemann-Liouville Fractional Integration," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, October.
    4. 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.
    5. Dumitru Baleanu & Praveen Agarwal, 2014. "Certain Inequalities Involving the Fractional q‐Integral Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. George A. Anastassiou, 2009. "Fractional Differentiation Inequalities," Springer Books, Springer, number 978-0-387-98128-4, October.
    7. Dumitru Baleanu & Praveen Agarwal, 2014. "Certain Inequalities Involving the Fractional -Integral Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, April.
    8. D. Baleanu & S. D. Purohit, 2014. "Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, April.
    9. D. Baleanu & S. D. Purohit, 2014. "Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    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. Hafte Amsalu & D. L. Suthar, 2018. "Generalized Fractional Integral Operators Involving Mittag‐Leffler Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    2. D. Baleanu & S. D. Purohit, 2014. "Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Haile Habenom & D. L. Suthar & Melaku Gebeyehu, 2019. "Application of Laplace Transform on Fractional Kinetic Equation Pertaining to the Generalized Galué Type Struve Function," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    4. Junesang Choi & Praveen Agarwal, 2014. "Some New Saigo Type Fractional Integral Inequalities and Their q‐Analogues," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. 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.
    6. Dumitru Baleanu & Praveen Agarwal, 2014. "Certain Inequalities Involving the Fractional q‐Integral Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    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. Junesang Choi & Praveen Agarwal, 2014. "Some New Saigo Type Fractional Integral Inequalities and Their q‐Analogues," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Haile Habenom & D. L. Suthar & Melaku Gebeyehu, 2019. "Application of Laplace Transform on Fractional Kinetic Equation Pertaining to the Generalized Galué Type Struve Function," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    3. D. Baleanu & S. D. Purohit, 2014. "Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Dumitru Baleanu & Praveen Agarwal, 2014. "Certain Inequalities Involving the Fractional q‐Integral Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Aditya Mani Mishra & Dumitru Baleanu & Fairouz Tchier & Sunil Dutt Purohit, 2019. "Certain Results Comprising the Weighted Chebyshev Function Using Pathway Fractional Integrals," Mathematics, MDPI, vol. 7(10), pages 1-9, September.
    6. 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.
    7. Gauhar Rahman & Zafar Ullah & Aftab Khan & Erhan Set & Kottakkaran Sooppy Nisar, 2019. "Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators," Mathematics, MDPI, vol. 7(4), pages 1-9, April.
    8. Muhammad Tariq & Soubhagya Kumar Sahoo & Sotiris K. Ntouyas & Omar Mutab Alsalami & Asif Ali Shaikh & Kamsing Nonlaopon, 2022. "Some New Mathematical Integral Inequalities Pertaining to Generalized Harmonic Convexity with Applications," Mathematics, MDPI, vol. 10(18), pages 1-21, September.
    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. Bas, Umut & Akkurt, Abdullah & Has, Aykut & Yildirim, Huseyin, 2025. "Multiplicative Riemann–Liouville fractional integrals and derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    11. 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.
    12. Hind Sweis & Omar Abu Arqub & Nabil Shawagfeh, 2024. "Well-posedness analysis and pseudo-Galerkin approximations using Tau Legendre algorithm for fractional systems of delay differential models regarding Hilfer (α,β)-framework set," PLOS ONE, Public Library of Science, vol. 19(6), pages 1-23, June.
    13. Guangzhou Li & Feixiang Chen, 2014. "Hermite‐Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    14. J. Caballero & I. Cabrera & K. Sadarangani, 2012. "Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    15. Set, Erhan & Kashuri, Artion & Mumcu, İlker, 2021. "Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya–Szegö inequality with applications," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    16. 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).
    17. Nuttapong Arunrat & Keaitsuda Maneeruk Nakprasit & Kamsing Nonlaopon & Praveen Agarwal & Sotiris K. Ntouyas, 2022. "Post-Quantum Chebyshev-Type Integral Inequalities for Synchronous Functions," Mathematics, MDPI, vol. 10(3), pages 1-15, January.
    18. Andrea Aglić Aljinović, 2014. "Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral," Journal of Mathematics, Hindawi, vol. 2014, pages 1-6, September.
    19. Thongchai Dumrongpokaphan & Nichaphat Patanarapeelert & Thanin Sitthiwirattham, 2020. "On Sequential Fractional q -Hahn Integrodifference Equations," Mathematics, MDPI, vol. 8(5), pages 1-14, May.
    20. 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.

    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:jnlaaa:v:2014:y:2014:i:1:n:249091. 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/4058 .

    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.