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Certain Chebyshev Type Integral Inequalities Involving Hadamard’s Fractional Operators

Author

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  • 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 , 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, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnlaaa:249091
    DOI: 10.1155/2014/249091
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    Cited by:

    1. 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.
    2. 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.
    3. 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).
    4. 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.
    5. 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.

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