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Steffensen-Type Inequalities with Weighted Function via ( γ , a )-Nabla-Conformable Integral on Time Scales

Author

Listed:
  • Ahmed A. El-Deeb

    (Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt)

  • Jan Awrejcewicz

    (Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland)

Abstract

The primary goal of this our research is to prove several new ∇-conformable dynamic Steffensen inequalities that were demonstrated in recent works. Our results generalize and extend existing results in the literature. Many special cases of the proposed results are obtained and analyzed such as new conformable fractional sum inequalities and new classical conformable fractional integral inequalities.

Suggested Citation

  • Ahmed A. El-Deeb & Jan Awrejcewicz, 2021. "Steffensen-Type Inequalities with Weighted Function via ( γ , a )-Nabla-Conformable Integral on Time Scales," Mathematics, MDPI, vol. 9(23), pages 1-15, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3046-:d:689251
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    References listed on IDEAS

    as
    1. Iyiola, O.S. & Tasbozan, O. & Kurt, A. & Çenesiz, Y., 2017. "On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 1-7.
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