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On The Bullen-Type Inequalities Via Generalized Fractional Integrals And Their Applications

Author

Listed:
  • TINGSONG DU

    (Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China)

  • CHUNYAN LUO

    (Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China)

  • ZHIJIE CAO

    (Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China)

Abstract

By using generalized fractional integrals, some Bullen-type inequalities are derived where the first derivative of considered functions is Lipschitzian, bounded or generalized (s,m)-preinvex. These results are also applied to the estimation of the moments of the random variable, Bullen-type quadrature formula and certain other special means. Meanwhile, three numerical examples provided in terms of the proposed method illustrate that the approach is effortless to implement and computationally attractive.

Suggested Citation

  • Tingsong Du & Chunyan Luo & Zhijie Cao, 2021. "On The Bullen-Type Inequalities Via Generalized Fractional Integrals And Their Applications," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-20, November.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:07:n:s0218348x21501887
    DOI: 10.1142/S0218348X21501887
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    Citations

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    Cited by:

    1. Hasan Kara & Hüseyin Budak & Fatih Hezenci, 2022. "New Extensions of the Parameterized Inequalities Based on Riemann–Liouville Fractional Integrals," Mathematics, MDPI, vol. 10(18), pages 1-12, September.
    2. Çi̇ri̇ş, Sümeyye Ermeydan & Yildirim, Hüseyin, 2024. "Hermite–Hadamard inequalities for generalized σ−conformable integrals generated by co-ordinated functions," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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