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Ostrowski Type Inequalities Involving ψ -Hilfer Fractional Integrals

Author

Listed:
  • Yasemin Basci

    (Department of Mathematics, Faculty of Arts and Sciences, Bolu Abant Izzet Baysal University, 14280 Golkoy, Bolu, Turkey)

  • Dumitru Baleanu

    (Department of Mathematics, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, Turkey
    Institute of Space Sciences, 077125 Bucharest-Magurele, Romania)

Abstract

In this study we introduce several new Ostrowski-type inequalities for both left and right sided fractional integrals of a function g with respect to another function ψ . Our results generalized the ones presented previously by Farid. Furthermore, two illustrative examples are presented to support our results.

Suggested Citation

  • Yasemin Basci & Dumitru Baleanu, 2019. "Ostrowski Type Inequalities Involving ψ -Hilfer Fractional Integrals," Mathematics, MDPI, vol. 7(9), pages 1-10, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:770-:d:259729
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    References listed on IDEAS

    as
    1. Ghulam Farid, 2016. "Straightforward Proofs of Ostrowski Inequality and Some Related Results," International Journal of Analysis, Hindawi, vol. 2016, pages 1-5, November.
    2. Set, Erhan & İşcan, İmdat & Zeki Sarikaya, M. & Emin Özdemir, M., 2015. "On new inequalities of Hermite–Hadamard–Fejér type for convex functions via fractional integrals," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 875-881.
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    Cited by:

    1. Cheng, Qingjin & Luo, Chunyan, 2022. "Estimation of the parameterized integral inequalities involving generalized p-convex mappings on fractal sets and related applications," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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