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Integral Inequalities for s -Convexity via Generalized Fractional Integrals on Fractal Sets

Author

Listed:
  • Ohud Almutairi

    (Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia
    These authors contributed equally to this work.)

  • Adem Kılıçman

    (Department of Mathematics, Putra University of Malaysia, Serdang 43400, Malaysia
    These authors contributed equally to this work.)

Abstract

In this study, we establish new integral inequalities of the Hermite–Hadamard type for s -convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann–Liouville into a single form. We show that the new integral inequalities of Hermite–Hadamard type can be obtained via the Riemann–Liouville fractional integral. Finally, we give some applications to special means.

Suggested Citation

  • Ohud Almutairi & Adem Kılıçman, 2020. "Integral Inequalities for s -Convexity via Generalized Fractional Integrals on Fractal Sets," Mathematics, MDPI, vol. 8(1), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:1:p:53-:d:304219
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    References listed on IDEAS

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    1. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
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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).
    2. Yu, Yuping & Liu, Jun & Du, Tingsong, 2022. "Certain error bounds on the parameterized integral inequalities in the sense of fractal sets," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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