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Certain Inequalities Involving the Fractional -Integral Operators

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  • Dumitru Baleanu
  • Praveen Agarwal

Abstract

We establish some inequalities involving Saigo fractional -integral operator in the theory of quantum calculus by using the two parameters of deformation, and , whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville and Kober fractional -integral operators, respectively. Furthermore, we also consider their relevance with other related known results.

Suggested Citation

  • Dumitru Baleanu & Praveen Agarwal, 2014. "Certain Inequalities Involving the Fractional -Integral Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, April.
    • Handle: RePEc:hin:jnlaaa:371274
    DOI: 10.1155/2014/371274
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    Cited by:

    1. Thongchai Dumrongpokaphan & Nichaphat Patanarapeelert & Thanin Sitthiwirattham, 2020. "On Sequential Fractional q -Hahn Integrodifference Equations," Mathematics, MDPI, vol. 8(5), pages 1-14, May.
    2. 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.
    3. 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.
    4. 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.

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